Information on Result #1725516
Digital (47, 62, 2905)-net over F7, using net defined by OOA based on linear OOA(762, 2905, F7, 21, 15) (dual of [(2905, 21), 60943, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(762, 8716, F7, 3, 15) (dual of [(8716, 3), 26086, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(762, 8716, F7, 15) (dual of [8716, 8654, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(762, 16813, F7, 15) (dual of [16813, 16751, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(756, 16807, F7, 13) (dual of [16807, 16751, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(762, 16813, F7, 15) (dual of [16813, 16751, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(762, 8716, F7, 15) (dual of [8716, 8654, 16]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.