Information on Result #1622898
Linear OOA(3248, 2620, F3, 5, 44) (dual of [(2620, 5), 12852, 45]-NRT-code), using OOA 2-folding based on linear OOA(3248, 5240, F3, 3, 44) (dual of [(5240, 3), 15472, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3248, 5241, F3, 3, 44) (dual of [(5241, 3), 15475, 45]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3248, 5241, F3, 44) (dual of [5241, 4993, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(3248, 6616, F3, 44) (dual of [6616, 6368, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(36) [i] based on
- linear OA(3233, 6561, F3, 44) (dual of [6561, 6328, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(315, 55, F3, 6) (dual of [55, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(43) ⊂ Ce(36) [i] based on
- discarding factors / shortening the dual code based on linear OA(3248, 6616, F3, 44) (dual of [6616, 6368, 45]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3248, 5241, F3, 44) (dual of [5241, 4993, 45]-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.