Information on Result #1622160
Linear OOA(3191, 1406, F3, 5, 36) (dual of [(1406, 5), 6839, 37]-NRT-code), using OOA 2-folding based on linear OOA(3191, 2812, F3, 3, 36) (dual of [(2812, 3), 8245, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] 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
- 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
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.