GHW for (x, x+y)-construction of codesFarzaneh Farhang BaftaniSuppose that A1 and A2 are two linear codes over Fm with parameters [n, k] and [n, k'], respectively. For the code A = { (x, x+y): x ∈ A1, y ∈ A2 }, we asked about dr(A) in terms of dr(A1) and dr(A2), so we obtained an upper bound for dr(A) in terms of them. In addition, we obtained d2(A) in which A1 and A2 are codes over F2. Additionally, we obtained d2(A) in non-binary case, where it is different of what we have for binary case. Suppose that M is a linear code over a finite field. The minimum of the support sizes among r-dimensional sub-codes of M is called the r-th generalized Hamming weight of M that we will denote it by dr(M).Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16, supplement issue 1 (2023), pp. 1-6 |