Information on Result #1722472
Digital (65, 79, 15395)-net over F5, using net defined by OOA based on linear OOA(579, 15395, F5, 21, 14) (dual of [(15395, 21), 323216, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(579, 46186, F5, 3, 14) (dual of [(46186, 3), 138479, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(579, 46188, F5, 3, 14) (dual of [(46188, 3), 138485, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(579, 46188, F5, 14) (dual of [46188, 46109, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(579, 78140, F5, 14) (dual of [78140, 78061, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(51, 15, F5, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(579, 78140, F5, 14) (dual of [78140, 78061, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(579, 46188, F5, 14) (dual of [46188, 46109, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(579, 46188, F5, 3, 14) (dual of [(46188, 3), 138485, 15]-NRT-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.