✦ LIBER ✦

Structure Theorems for Group Ring Codes with an Application to Self-Dual Codes

✍ Scribed by G. Hughes

Book ID: 110299552
Publisher: Springer
Year: 2001
Tongue: English
Weight: 97 KB
Volume: 24
Category: Article
ISSN: 0925-1022
DOI: 10.1023/a:1011299010894

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A method for constructing inequivalent s

A method for constructing inequivalent self-dual codes with applications to length 56

✍ Yorgov, V. 📂 Article 📅 1987 🏛 IEEE 🌐 English ⚖ 732 KB

Overlap and Covering Polynomials with Ap

Overlap and Covering Polynomials with Applications to Designs and Self-Dual Codes

✍ Janusz, Gerald J. 📂 Article 📅 2000 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 258 KB

A method for constructing self-dual code

A method for constructing self-dual codes with an automorphism of order 2

✍ Bouyuklieva, S. 📂 Article 📅 2000 🏛 IEEE 🌐 English ⚖ 364 KB

An extremal ternary self-dual [28,14,9]

An extremal ternary self-dual [28,14,9] code with a trivial automorphism group

✍ Masaaki Harada 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 55 KB

Binary Self-Dual Codes of Lengths 52 to

Binary Self-Dual Codes of Lengths 52 to 60 With an Automorphism of Order 7 or 13

✍ Yankov, N.; Russeva, R. 📂 Article 📅 2011 🏛 IEEE 🌐 English ⚖ 502 KB

Gröbner Bases over Galois Rings with an

Gröbner Bases over Galois Rings with an Application to Decoding Alternant Codes

✍ Eimear Byrne; Patrick Fitzpatrick 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 346 KB

We develop a theory of Gröbner bases over Galois rings, following the usual formulation for Gröbner bases over finite fields. Our treatment includes a division algorithm, a characterization of Gröbner bases, and an extension of Buchberger's algorithm. One application is towards the problem of decodi