Information on Result #685703
Linear OA(7105, 193, F7, 44) (dual of [193, 88, 45]-code), using construction XX applied to Ce(43) ⊂ Ce(37) ⊂ Ce(36) based on
- linear OA(797, 172, F7, 44) (dual of [172, 75, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [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(782, 172, F7, 37) (dual of [172, 90, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(77, 20, F7, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(70, 1, F7, 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.