Information on Result #685699
Linear OA(7109, 195, F7, 45) (dual of [195, 86, 46]-code), using construction XX applied to Ce(44) ⊂ Ce(39) ⊂ Ce(37) based on
- linear OA(7100, 172, F7, 45) (dual of [172, 72, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(788, 172, F7, 40) (dual of [172, 84, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(785, 172, F7, 38) (dual of [172, 87, 39]-code), using an extension Ce(37) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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.