Information on Result #686146
Linear OA(750, 61, F7, 34) (dual of [61, 11, 35]-code), using construction XX applied to Ce(33) ⊂ Ce(31) ⊂ Ce(26) based on
- linear OA(743, 49, F7, 34) (dual of [49, 6, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(71, 6, F7, 1) (dual of [6, 5, 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
- linear OA(74, 6, F7, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,7)), using
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.