Information on Result #1491015
Linear OOA(8138, 2085, F8, 3, 39) (dual of [(2085, 3), 6117, 40]-NRT-code), using OOA 2-folding based on linear OOA(8138, 4170, F8, 2, 39) (dual of [(4170, 2), 8202, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8138, 4171, F8, 2, 39) (dual of [(4171, 2), 8204, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8138, 4171, F8, 39) (dual of [4171, 4033, 40]-code), using
- 70 step Varšamov–Edel lengthening with (ri) = (1, 69 times 0) [i] based on linear OA(8137, 4100, F8, 39) (dual of [4100, 3963, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(37) [i] based on
- linear OA(8137, 4096, F8, 39) (dual of [4096, 3959, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(8133, 4096, F8, 38) (dual of [4096, 3963, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(38) ⊂ Ce(37) [i] based on
- 70 step Varšamov–Edel lengthening with (ri) = (1, 69 times 0) [i] based on linear OA(8137, 4100, F8, 39) (dual of [4100, 3963, 40]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8138, 4171, F8, 39) (dual of [4171, 4033, 40]-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.