Information on Result #1743516
Digital (28, 48, 786)-net over F49, using net defined by OOA based on linear OOA(4948, 786, F49, 27, 20) (dual of [(786, 27), 21174, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4948, 3145, F49, 3, 20) (dual of [(3145, 3), 9387, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4948, 3145, F49, 20) (dual of [3145, 3097, 21]-code), using
- 733 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 10 times 0, 1, 30 times 0, 1, 82 times 0, 1, 197 times 0, 1, 405 times 0) [i] based on linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(4937, 2401, F49, 19) (dual of [2401, 2364, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- 733 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 10 times 0, 1, 30 times 0, 1, 82 times 0, 1, 197 times 0, 1, 405 times 0) [i] based on linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4948, 3145, F49, 20) (dual of [3145, 3097, 21]-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.