Information on Result #1413422
Linear OOA(3181, 2240, F3, 2, 36) (dual of [(2240, 2), 4299, 37]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3181, 2240, F3, 36) (dual of [2240, 2059, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, 2261, F3, 36) (dual of [2261, 2080, 37]-code), using
- 61 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 9 times 0, 1, 12 times 0, 1, 16 times 0) [i] based on linear OA(3168, 2187, F3, 36) (dual of [2187, 2019, 37]-code), using
- 1 times truncation [i] based on linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using
- 61 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 9 times 0, 1, 12 times 0, 1, 16 times 0) [i] based on linear OA(3168, 2187, F3, 36) (dual of [2187, 2019, 37]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3181, 1120, F3, 3, 36) (dual of [(1120, 3), 3179, 37]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3181, 1120, F3, 4, 36) (dual of [(1120, 4), 4299, 37]-NRT-code) | [i] | ||