Information on Result #1481248
Linear OOA(4219, 2058, F4, 3, 48) (dual of [(2058, 3), 5955, 49]-NRT-code), using OOA 2-folding based on linear OOA(4219, 4116, F4, 2, 48) (dual of [(4116, 2), 8013, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4219, 4117, F4, 2, 48) (dual of [(4117, 2), 8015, 49]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4219, 4117, F4, 48) (dual of [4117, 3898, 49]-code), using
- 7 step Varšamov–Edel lengthening with (ri) = (1, 6 times 0) [i] based on linear OA(4218, 4109, F4, 48) (dual of [4109, 3891, 49]-code), using
- construction X applied to Ce(48) ⊂ Ce(45) [i] based on
- linear OA(4217, 4096, F4, 49) (dual of [4096, 3879, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(48) ⊂ Ce(45) [i] based on
- 7 step Varšamov–Edel lengthening with (ri) = (1, 6 times 0) [i] based on linear OA(4218, 4109, F4, 48) (dual of [4109, 3891, 49]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4219, 4117, F4, 48) (dual of [4117, 3898, 49]-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.