Information on Result #1743448
Digital (25, 43, 987)-net over F49, using net defined by OOA based on linear OOA(4943, 987, F49, 21, 18) (dual of [(987, 21), 20684, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4943, 2962, F49, 3, 18) (dual of [(2962, 3), 8843, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4943, 2963, F49, 3, 18) (dual of [(2963, 3), 8846, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4943, 2963, F49, 18) (dual of [2963, 2920, 19]-code), using
- 552 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 15 times 0, 1, 51 times 0, 1, 144 times 0, 1, 334 times 0) [i] based on linear OA(4935, 2403, F49, 18) (dual of [2403, 2368, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(4935, 2401, F49, 18) (dual of [2401, 2366, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4933, 2401, F49, 17) (dual of [2401, 2368, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- 552 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 15 times 0, 1, 51 times 0, 1, 144 times 0, 1, 334 times 0) [i] based on linear OA(4935, 2403, F49, 18) (dual of [2403, 2368, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4943, 2963, F49, 18) (dual of [2963, 2920, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(4943, 2963, F49, 3, 18) (dual of [(2963, 3), 8846, 19]-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.