Information on Result #1743320
Digital (28, 43, 19608)-net over F49, using net defined by OOA based on linear OOA(4943, 19608, F49, 21, 15) (dual of [(19608, 21), 411725, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4943, 58825, F49, 3, 15) (dual of [(58825, 3), 176432, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4943, 58826, F49, 3, 15) (dual of [(58826, 3), 176435, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4943, 58826, F49, 2, 15) (dual of [(58826, 2), 117609, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4943, 117652, F49, 15) (dual of [117652, 117609, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(4943, 117649, F49, 15) (dual of [117649, 117606, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(4943, 117652, F49, 15) (dual of [117652, 117609, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4943, 58826, F49, 2, 15) (dual of [(58826, 2), 117609, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4943, 58826, F49, 3, 15) (dual of [(58826, 3), 176435, 16]-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.