Information on Result #1494491
Linear OOA(4945, 1417, F49, 3, 19) (dual of [(1417, 3), 4206, 20]-NRT-code), using OOA 2-folding based on linear OOA(4945, 2834, F49, 2, 19) (dual of [(2834, 2), 5623, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4945, 2835, F49, 2, 19) (dual of [(2835, 2), 5625, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4945, 2835, F49, 19) (dual of [2835, 2790, 20]-code), using
- 424 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 13 times 0, 1, 40 times 0, 1, 108 times 0, 1, 255 times 0) [i] based on linear OA(4937, 2403, F49, 19) (dual of [2403, 2366, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- 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(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(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(18) ⊂ Ce(17) [i] based on
- 424 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 13 times 0, 1, 40 times 0, 1, 108 times 0, 1, 255 times 0) [i] based on linear OA(4937, 2403, F49, 19) (dual of [2403, 2366, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4945, 2835, F49, 19) (dual of [2835, 2790, 20]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.