Information on Result #641266
Linear OA(776, 81, F7, 58) (dual of [81, 5, 59]-code), using juxtaposition based on
- linear OA(720, 25, F7, 16) (dual of [25, 5, 17]-code), using
- an extension Ce(15) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- the narrow-sense BCH-code C(I) with length 25 | 74−1, defining interval I = [1,8], and minimum distance d ≥ |{−10,−7,−4,…,10}|+1 = 17 (BCH-bound) [i]
- linear OA(751, 56, F7, 41) (dual of [56, 5, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(751, 57, F7, 41) (dual of [57, 6, 42]-code), using
- code C0 for u = 3 by de Boer and Brouwer [i]
- discarding factors / shortening the dual code based on linear OA(751, 57, F7, 41) (dual of [57, 6, 42]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.