Information on Result #684275
Linear OA(582, 134, F5, 40) (dual of [134, 52, 41]-code), using construction XX applied to Ce(41) ⊂ Ce(37) ⊂ Ce(36) based on
- linear OA(580, 125, F5, 42) (dual of [125, 45, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(574, 125, F5, 38) (dual of [125, 51, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(571, 125, F5, 37) (dual of [125, 54, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(51, 8, F5, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
None.