Information on Result #1551165
Linear OOA(714, 32, F7, 3, 8) (dual of [(32, 3), 82, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(714, 32, F7, 8) (dual of [32, 18, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(714, 52, F7, 8) (dual of [52, 38, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(713, 49, F7, 8) (dual of [49, 36, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(711, 49, F7, 6) (dual of [49, 38, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(71, 3, F7, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
Mode: 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.