Information on Result #1743308
Digital (22, 37, 1239)-net over F49, using net defined by OOA based on linear OOA(4937, 1239, F49, 21, 15) (dual of [(1239, 21), 25982, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4937, 3718, F49, 3, 15) (dual of [(3718, 3), 11117, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4937, 3720, F49, 3, 15) (dual of [(3720, 3), 11123, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4937, 3720, F49, 15) (dual of [3720, 3683, 16]-code), using
- 1309 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 8 times 0, 1, 35 times 0, 1, 123 times 0, 1, 365 times 0, 1, 771 times 0) [i] based on linear OA(4929, 2403, F49, 15) (dual of [2403, 2374, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(4929, 2401, F49, 15) (dual of [2401, 2372, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4927, 2401, F49, 14) (dual of [2401, 2374, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 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
- 1309 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 8 times 0, 1, 35 times 0, 1, 123 times 0, 1, 365 times 0, 1, 771 times 0) [i] based on linear OA(4929, 2403, F49, 15) (dual of [2403, 2374, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4937, 3720, F49, 15) (dual of [3720, 3683, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(4937, 3720, F49, 3, 15) (dual of [(3720, 3), 11123, 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.