Information on Result #1414161
Linear OOA(3191, 2812, F3, 2, 36) (dual of [(2812, 2), 5433, 37]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3191, 2812, F3, 36) (dual of [2812, 2621, 37]-code), using
- 602 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, 1, 21 times 0, 1, 27 times 0, 1, 34 times 0, 1, 42 times 0, 1, 51 times 0, 1, 58 times 0, 1, 66 times 0, 1, 72 times 0, 1, 78 times 0, 1, 82 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
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(3191, 1406, F3, 3, 36) (dual of [(1406, 3), 4027, 37]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3191, 1406, F3, 4, 36) (dual of [(1406, 4), 5433, 37]-NRT-code) | [i] | ||