On LCD codes over finite chain rings

키워드

참고문헌 (23)

1. A. R. Calderbank, "Modular andp-adic cyclic codes", Designs, Codes and Cryptography, 6(1), pp.21~35 (1995), Springer Science and Business Media LLC[DOI]
2. Claude Carlet, "Complementary dual codes for counter-measures to side-channel attacks", Advances in Mathematics of Communications, 10(1), pp.131~150 (2016), American Institute of Mathematical Sciences (AIMS)[DOI]
3. Claude Carlet, "Linear Codes Over $\mathbb F_q$ Are Equivalent to LCD Codes for $q>3$", IEEE Transactions on Information Theory, 64(4), pp.3010~3017 (2018), Institute of Electrical and Electronics Engineers (IEEE)[DOI]
4. Steven T. Dougherty, "The combinatorics of LCD codes: linear programming bound and orthogonal matrices", International Journal of Information and Coding Theory, 4(2, pp.3) (2017), 116~128[DOI]
5. M. Esmaeili, "On complementary-dual quasi-cyclic codes", Finite Fields and Their Applications, 15(3), pp.375~386 (2009), Elsevier BV[DOI]
6. Yun Fan, "Matrix product codes over finite commutative Frobenius rings", Designs, Codes and Cryptography, 71(2), pp.201~227 (2014), Springer Science and Business Media LLC[DOI]
7. Cem Güneri, "Quasi-cyclic complementary dual codes", Finite Fields and Their Applications, 42, pp.67~80 (2016), Elsevier BV[DOI]
8. M. Hazewinkel, "Handbook of Algebra. Vol. 5", pp.2008, Elsevier
9. T. Honold, "Linear codes over finite chain rings", Electron. J. Combin, 7, pp.22~ (2000)
10. Lingfei Jin, "Construction of MDS codes with complementary duals", IEEE Transactions on Information Theory, 63(5), pp.2843~2847 (2016), Institute of Electrical and Electronics Engineers (IEEE)[DOI]
11. Chengju Li, "Hermitian LCD codes from cyclic codes", Designs, Codes and Cryptography, 86(10), pp.2261~2278 (2018), Springer Science and Business Media LLC[DOI]
12. Xiusheng Liu, "LCD codes over finite chain rings", Finite Fields and Their Applications, 34, pp.1~19 (2015), Elsevier BV[DOI]
13. J. L. Massey, "Reversible codes", Information and Control, 7, pp.369~380 (1964)
14. James L. Massey, "Linear codes with complementary duals", Discrete Mathematics, 106-107, pp.337~342 (1992), Elsevier BV[DOI]
15. B. R. McDonald, "Finite Rings with Identity" (1974), Marcel Dekker, Inc
16. Sihem Mesnager, "Complementary Dual Algebraic Geometry Codes", IEEE Transactions on Information Theory, 64(4), pp.2390~2397 (2018), Institute of Electrical and Electronics Engineers (IEEE)[DOI]
17. G.H. Norton, "On the Hamming distance of linear codes over a finite chain ring", IEEE Transactions on Information Theory, 46(3), pp.1060~1067 (2000), Institute of Electrical and Electronics Engineers (IEEE)[DOI]
18. Graham H. Norton, "On the Structure of Linear and Cyclic Codes over a Finite Chain Ring", Applicable Algebra in Engineering, Communication and Computing, 10(6), pp.489~506 (2000), Springer Science and Business Media LLC[DOI]
19. Nicolas Sendrier, "Linear codes with complementary duals meet the Gilbert–Varshamov bound", Discrete Mathematics, 285(1-3), pp.345~347 (2004), Elsevier BV[DOI]
20. Lin Sok, "Constructions of optimal LCD codes over large finite fields", Finite Fields and Their Applications, 50, pp.138~153 (2018), Elsevier BV[DOI]
21. Jay Alan Wood, "Duality for modules over finite rings and applications to coding theory", American Journal of Mathematics, 121(3), pp.555~575 (1999), Project Muse[DOI]
22. Xiang Yang, "The condition for a cyclic code to have a complementary dual", Discrete Mathematics, 126(1-3), pp.391~393 (1994), Elsevier BV[DOI]
23. HONGWEI ZHU, "ON LINEAR COMPLEMENTARY DUAL FOUR CIRCULANT CODES", Bulletin of the Australian Mathematical Society, 98(1), pp.159~166 (2018), Cambridge University Press (CUP)[DOI]

관련 논문AI추천