Our results about homogeneous weight enumerators of linear codes over GR(p`,m) generalize the results that we have for the Lee weight enumerators of linear ...
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What is the weight enumerator of code?
In which codes each digit of the code do not have any position weight?
Then C is a self-dual code of size 256 with Lee weight enumerator 1 + 112 z 6 + 30 z 8 + 112 z 10 + z 16 and ϕ ( C ) is equivalent to the well known octacode ...
The MacWilliams extension theorem for code equivalence and the MacWilliams identi- ties for weight enumerators of a code and its dual code are two of the ...
The main purpose of this paper is to investigate the weight enumerators associated to the only one equivalent class of linear codes and to construct these codes ...
Missing: Lee Isometric.
Oct 22, 2024 · In this paper, we mainly study cyclic codes and the weight enumerator of linear codes over non-principal ideal ring R = F2 + vF2 + v2F2.
Jul 5, 2024 · In this study, linear codes having their Lee-weight distributions over the semi-local ring Fq +uFq with u2 = 1 are constructed using the ...
A code is formally self-dual if it and its dual have the same weight enumerator. ... Codes meeting the appropriate bound for Lee weight are called Lee-extremal.
codes with respect to Lee weight enumerator over the rings. F2 + vF2 + v2. F2 [12] and Fp + vFp [13], respectively. On the other hand, Gao studied the linear ...
The weight and distance enumerators record the weight and distance informa- tion for the code. In turn they can be analyzed to reveal properties of the code. ...
Missing: Isometric. | Show results with:Isometric.
As equivalent codes have the same weight enumerator, this observation implies that the isometric codes C, and C2 from. Example 2 are not equivalent! In [6] ...
Missing: Lee | Show results with:Lee