Information on Result #686131
Linear OA(761, 71, F7, 41) (dual of [71, 10, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(31) ⊂ Ce(26) based on
- linear OA(746, 49, F7, 41) (dual of [49, 3, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(740, 49, F7, 32) (dual of [49, 9, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(738, 49, F7, 27) (dual of [49, 11, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(710, 17, F7, 8) (dual of [17, 7, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- extended quadratic residue code Qe(20,7) [i]
- discarding factors / shortening the dual code based on linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- linear OA(74, 5, F7, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,7)), using
- dual of repetition code with length 5 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.