Information on Result #685713
Linear OA(7100, 195, F7, 41) (dual of [195, 95, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(35) ⊂ Ce(33) based on
- linear OA(791, 172, F7, 41) (dual of [172, 81, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(779, 172, F7, 36) (dual of [172, 93, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(776, 172, F7, 34) (dual of [172, 96, 35]-code), using an extension Ce(33) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(76, 20, F7, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- linear OA(71, 3, F7, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-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.
Other Results with Identical Parameters
None.
Depending Results
None.