Constructions of self-dual codes and formally self-dual codes over rings

Author:

Dougherty Steven T,Kaya Abidin,Saltürk Esengül

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Reference10 articles.

1. Batoul, A., Guenda, K., Kaya, A., Yildiz, B.: Cyclic isodual and formally self-dual codes over $${\mathbb{F}}_{q}+v{\mathbb{F}}_{q}$$ F q + v F q . Eur. J. Pure Appl. Math. 8(1), 64–80 (2015)

2. Calderbank, A.R., Hammons, A.R., Kumar, P.V., Sloane, N.J.A., Solé, P.: A linear construction for certain Kerdock and Preparata codes. Bull. Am. Math. Soc. 29(2), 218–222 (1993)

3. Dougherty, S.T., Salturk, E., Szabo, S.: Codes over local rings of order $$16$$ 16 and binary codes, to appear in Adv. Math. Comm

4. Dougherty, S.T., Salturk, E.: Codes over local rings, gray maps and self-dual codes, in submission

5. Dougherty, S.T., Yildiz, B., Karadeniz, S.: Codes over $$R_k$$ R k , gray maps and their binary images. Finite Fields Appl. 17(3), 205–219 (2011)

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1. A Class of Left Dihedral Codes Over Rings $\mathbb{F}_q+u\mathbb{F}_q$;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2017

2. Codes over a family of local Frobenius rings, Gray maps and self-dual codes;Discrete Applied Mathematics;2017-01

3. Families of Rings;Algebraic Coding Theory Over Finite Commutative Rings;2017

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