Relevant bibliographies by topics / Constacyclic Codes

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Constacyclic Codes'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Constacyclic Codes"

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Koroglu, Mehmet, and Irfan Siap. "A class of constacyclic codes from group algebras." Filomat 31, no. 10 (2017): 2917–23. http://dx.doi.org/10.2298/fil1710917k.

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Constacyclic codes are preferred in engineering applications due to their efficient encoding process via shift registers. The class of constacyclic codes contains cyclic and negacyclic codes. The relation and presentation of cyclic codes as group algebras has been considered. Here for the first time, we establish a relation between constacyclic codes and group algebras and study their algebraic structures. Further, we give a method for constructing constacyclic codes by using zero-divisors in group algebras. Some good parameters for constacyclic codes which are derived from the proposed constr
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Islam, Habibul, and Om Prakash. "A class of constacyclic codes over the ring Z4[u,v]/ and their Gray images." Filomat 33, no. 8 (2019): 2237–48. http://dx.doi.org/10.2298/fil1908237i.

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In this paper, we study (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes over the ring Z4 + uZ4 + vZ4 + uvZ4 where u2 = v2 = 0,uv = vu. We define some new Gray maps and show that the Gray images of (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. Further, we determine the structure of (1 + 2u + 2v)-constacyclic codes of odd length n.
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Chen, Bocong, Hai Q. Dinh, Yun Fan, and San Ling. "Polyadic Constacyclic Codes." IEEE Transactions on Information Theory 61, no. 9 (2015): 4895–904. http://dx.doi.org/10.1109/tit.2015.2451656.

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Blackford, Thomas. "Isodual constacyclic codes." Finite Fields and Their Applications 24 (November 2013): 29–44. http://dx.doi.org/10.1016/j.ffa.2013.05.005.

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Abualrub, Taher, and Irfan Siap. "Constacyclic codes over." Journal of the Franklin Institute 346, no. 5 (2009): 520–29. http://dx.doi.org/10.1016/j.jfranklin.2009.02.001.

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Bag, Tushar, Habibul Islam, Om Prakash та Ashish K. Upadhyay. "A study of constacyclic codes over the ring ℤ4[u]/〈u2 − 3〉". Discrete Mathematics, Algorithms and Applications 10, № 04 (2018): 1850056. http://dx.doi.org/10.1142/s1793830918500568.

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In this paper, we study [Formula: see text]-constacyclic codes over the ring [Formula: see text], where [Formula: see text] for [Formula: see text] and [Formula: see text], respectively. We define some new Gray maps from [Formula: see text] to the copies of [Formula: see text]. It is shown that Gray images of [Formula: see text]-constacyclic codes over [Formula: see text] are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over [Formula: see text]. Further, we extend and obtain cyclic codes, [Formula: see text]-constacyclic codes and permutation equivalent to quasi-cyclic
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Cengellenmis, Yasemin, Abdullah Dertli та Nuh Aydın. "Some Constacyclic Codes over ℤ4[u]/〈u2〉,, New Gray Maps, and New Quaternary Codes". Algebra Colloquium 25, № 03 (2018): 369–76. http://dx.doi.org/10.1142/s1005386718000263.

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In this paper, we study λ-constacyclic codes over the ring R = ℤ4 + uℤ4, where u2 = 0, for λ =1 + 3u and 3 + u. We introduce two new Gray maps from R to [Formula: see text] and show that the Gray images of λ-constacyclic codes over R are quasi-cyclic over ℤ4. Moreover, we present many examples of λ-constacyclic codes over R whose ℤ4-images have better parameters than the currently best-known linear codes over ℤ4.
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Alkenani, Ahmad N., Mohammad Ashraf, and Ghulam Mohammad. "Quantum Codes from Constacyclic Codes over the Ring Fq[u1,u2]/〈 u 1 2 -u1, u 2 2 -u2,u1u2-u2u1〉." Mathematics 8, no. 5 (2020): 781. http://dx.doi.org/10.3390/math8050781.

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In this paper, we study the structural properties of ( α + u 1 β + u 2 γ + u 1 u 2 δ ) -constacyclic codes over R = F q [ u 1 , u 2 ] / ⟨ u 1 2 − u 1 , u 2 2 − u 2 , u 1 u 2 − u 2 u 1 ⟩ where q = p m for odd prime p and m ≥ 1 . We derive the generators of constacyclic and dual constacyclic codes. We have shown that Gray image of a constacyclic code of length n is a quasi constacyclic code of length 4 n . Also we have classified all possible self dual linear codes over this ring R . We have given the applications by computing non-binary quantum codes over this ring R .
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Wang, Liqi, and Shixin Zhu. "On the construction of optimal asymmetric quantum codes." International Journal of Quantum Information 12, no. 03 (2014): 1450017. http://dx.doi.org/10.1142/s0219749914500178.

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Constacyclic codes are important classes of linear codes that have been applied to the construction of quantum codes. Six new families of asymmetric quantum codes derived from constacyclic codes are constructed in this paper. Moreover, the constructed asymmetric quantum codes are optimal and different from the codes available in the literature.
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Islam, Habibul, Om Prakash, and Dipak Kumar Bhunia. "Quantum Codes Obtained from Constacyclic Codes." International Journal of Theoretical Physics 58, no. 11 (2019): 3945–51. http://dx.doi.org/10.1007/s10773-019-04260-y.

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Dissertations / Theses on the topic "Constacyclic Codes"

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Fogarty, Neville Lyons. "On Skew-Constacyclic Codes." UKnowledge, 2016. http://uknowledge.uky.edu/math_etds/36.

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Cyclic codes are a well-known class of linear block codes with efficient decoding algorithms. In recent years they have been generalized to skew-constacyclic codes; such a generalization has previously been shown to be useful. We begin with a study of skew-polynomial rings so that we may examine these codes algebraically as quotient modules of non-commutative skew-polynomial rings. We introduce a skew-generalized circulant matrix to aid in examining skew-constacyclic codes, and we use it to recover a well-known result on the duals of skew-constacyclic codes from Boucher/Ulmer in 2011. We also
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Ozadam, Hakan. "Repeated-root Cyclic Codes And Matrix Product Codes." Phd thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12615304/index.pdf.

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We study the Hamming distance and the structure of repeated-root cyclic codes, and their generalizations to constacyclic and polycyclic codes, over finite fields and Galois rings. We develop a method to compute the Hamming distance of these codes. Our computation gives the Hamming distance of constacyclic codes of length $np^s$ in many cases. In particular, we determine the Hamming distance of all constacyclic, and therefore cyclic and negacyclic, codes of lengths p^s and 2p^s over a finite field of characteristic $p$. It turns out that the generating sets for the ambient space obtained by tor
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Parra, Avila Benigno Rafael. "On Rational and Periodic Power Series and on Sequential and Polycyclic Error-Correcting Codes." Ohio University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1257886601.

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Hung, Chung-Feng, and 洪崇峰. "Structures of Constacyclic Codes of Length 2p^s over Finite Fields." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/3mjjxr.

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碩士<br>國立臺灣師範大學<br>數學系<br>103<br>We first recall the algebraic structures of constacyclic codes. Then, we describe constacyclic codes by finding their generator polynomials, and we also give a way to find the dual codes of constacyclic codes as well as to discuss the conditions of existence of self-dual codes of cyclic and negacyclic codes of length 2p^s over F_p^m. Finally, we give structures of all constacyclic codes of length 2p^s over F_p^m via isomorphisms between cyclic codes, negacyclic codes and constacyclic codes.
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Book chapters on the topic "Constacyclic Codes"

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Dougherty, Steven T. "Cyclic and Constacyclic Codes." In Algebraic Coding Theory Over Finite Commutative Rings. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59806-2_6.

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Rocha, Valdemar C. "On Repeated-Single-Root Constacyclic Codes." In Communications and Cryptography. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2694-0_10.

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Batoul, Aicha, Kenza Guenda, T. Aaron Gulliver, and Nuh Aydin. "Constacyclic Codes over Finite Principal Ideal Rings." In Codes, Cryptology and Information Security. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55589-8_11.

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Dinh, Hai Q. "On Some Classes of Repeated-root Constacyclic Codes of Length a Power of 2 over Galois Rings." In Advances in Ring Theory. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0286-0_10.

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Laaouine, Jamal. "On the Hamming and Symbol-Pair Distance of Constacyclic Codes of Length $$p^s$$ over $$\mathbb {F}_{p^m}+ u\mathbb {F}_{p^m}$$." In Communications in Computer and Information Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61143-9_12.

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Güzel, G. Gözde, Abdullah Dertli, and Yasemin Çengellenmiş. "On the $$(1+u^2+u^3)$$ -Constacyclic and Cyclic Codes Over the Finite Ring $$ {F}_2+u{F}_2+u^2{F}_2+u^3{F}_2+v{F}_2 $$." In Notes from the International Autumn School on Computational Number Theory. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12558-5_6.

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"Skew constacyclic codes over Fq + vFq + v2Fq." In Algebra and Its Applications. De Gruyter, 2018. http://dx.doi.org/10.1515/9783110542400-003.

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Dinh, Hai. "Structure of some classes of repeated-root constacyclic codes over integers modulo 2m." In Groups, Rings and Group Rings. Chapman and Hall/CRC, 2006. http://dx.doi.org/10.1201/9781420010961.ch10.

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Conference papers on the topic "Constacyclic Codes"

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Jr., V., and J. Neto. "Nonlinear Binary Codes Derived from Constacyclic Codes." In VII International Telecommunications Symposium. Sociedade Brasileira de Telecomunicações, 2010. http://dx.doi.org/10.14209/sbrt.2010.62.

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Charkani, Mohammed Elhassani, and Joel Kabore. "On Constacyclic codes over ℤpm." In 2014 5th Workshop on Codes, Cryptography and Communication Systems (WCCCS). IEEE, 2014. http://dx.doi.org/10.1109/wcccs.2014.7107919.

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Wolfmann, Jacques. "Projective two-weight Cyclic or Constacyclic Codes." In 2006 IEEE International Symposium on Information Theory. IEEE, 2006. http://dx.doi.org/10.1109/isit.2006.261789.

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Aydin, Nuh, Thomas Guidotti, and Peihan Liu. "New Linear Codes as Quasi-Twisted Codes from Long Constacyclic Codes." In 2020 Algebraic and Combinatorial Coding Theory (ACCT). IEEE, 2020. http://dx.doi.org/10.1109/acct51235.2020.9383237.

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Zhao, Wei, Kenneth W. Shum, and Shenghao Yang. "Optimal Locally Repairable Constacyclic Codes of Prime Power Lengths." In 2020 IEEE International Symposium on Information Theory (ISIT). IEEE, 2020. http://dx.doi.org/10.1109/isit44484.2020.9174100.

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Biswas, Soumak, та Maheshanand Bhaintwal. "Quantum codes from (1+βu)-constacyclic codes over Fp m+uFp m". У 2020 5th International Conference on Computing, Communication and Security (ICCCS). IEEE, 2020. http://dx.doi.org/10.1109/icccs49678.2020.9277071.

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Verma, Ram Krishna, Om Prakash, and Ashutosh Singh. "Quantum codes from skew constacyclic codes over Fp m + vFp m + v2Fp m." In 2020 Algebraic and Combinatorial Coding Theory (ACCT). IEEE, 2020. http://dx.doi.org/10.1109/acct51235.2020.9383402.

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Qian, Liqin, Minjia Shi, Lin Sok, Jingshui Ping, and Solé Patrick. "A Special Class of Constacyclic Codes over a Non-Chain Ring." In International Conference on Communication and Electronic Information Engineering (CEIE 2016). Atlantis Press, 2017. http://dx.doi.org/10.2991/ceie-16.2017.33.

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