Information on Result #686097
Linear OA(758, 66, F7, 42) (dual of [66, 8, 43]-code), using construction X applied to Ce(47) ⊂ Ce(32) based on
- linear OA(748, 49, F7, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,7)), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(741, 49, F7, 33) (dual of [49, 8, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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
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.