Information on Result #1487376
Linear OOA(783, 1591, F7, 3, 22) (dual of [(1591, 3), 4690, 23]-NRT-code), using OOA 2-folding based on linear OOA(783, 3182, F7, 2, 22) (dual of [(3182, 2), 6281, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(783, 3183, F7, 2, 22) (dual of [(3183, 2), 6283, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(783, 3183, F7, 22) (dual of [3183, 3100, 23]-code), using
- 772 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 5 times 0, 1, 16 times 0, 1, 39 times 0, 1, 84 times 0, 1, 146 times 0, 1, 211 times 0, 1, 262 times 0) [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 772 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 5 times 0, 1, 16 times 0, 1, 39 times 0, 1, 84 times 0, 1, 146 times 0, 1, 211 times 0, 1, 262 times 0) [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(783, 3183, F7, 22) (dual of [3183, 3100, 23]-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.