A new module structure for convolutional codes is introduced and used to establish further links with quasi-cyclic and cyclic codes. The set of finite weight codewords of an (n,k) convolutional code over Fq is shown to be isomorphic to an Fq[x]-...
Maximum distance separable (MDS) convolutional codes are characterized through the property that the free distance meets the generalized Singleton bound. The existence of free MDS convolutional codes over $${\mathbb {Z}}_{p^{r}}$$Zpr was recently ...
Let F"q be a finite field with q elements and n=l"1^m^"^1l"2^m^"^2, m"1>=1, m"2>=1, where l"1, l"2 are distinct primes and l"1l"2|q-1. In this paper, we give all irreducible factors of x^l^"^1^^^m^^^"^^^1^l^"^2^^^m^^^"^^^2-1 over F"q and all primitive ...
Association for Computing Machinery
New York, NY, United States
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in