Information on Result #1491084
Linear OOA(8142, 2152, F8, 3, 40) (dual of [(2152, 3), 6314, 41]-NRT-code), using OOA 2-folding based on linear OOA(8142, 4304, F8, 2, 40) (dual of [(4304, 2), 8466, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8142, 4305, F8, 2, 40) (dual of [(4305, 2), 8468, 41]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8142, 4305, F8, 40) (dual of [4305, 4163, 41]-code), using
- 208 step Varšamov–Edel lengthening with (ri) = (1, 53 times 0, 1, 153 times 0) [i] based on linear OA(8140, 4095, F8, 40) (dual of [4095, 3955, 41]-code), using
- 1 times truncation [i] based on linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using
- an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- 1 times truncation [i] based on linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using
- 208 step Varšamov–Edel lengthening with (ri) = (1, 53 times 0, 1, 153 times 0) [i] based on linear OA(8140, 4095, F8, 40) (dual of [4095, 3955, 41]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8142, 4305, F8, 40) (dual of [4305, 4163, 41]-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.