Information on Result #1480007
Linear OOA(4192, 6683, F4, 3, 35) (dual of [(6683, 3), 19857, 36]-NRT-code), using OOA 2-folding based on linear OOA(4192, 13366, F4, 2, 35) (dual of [(13366, 2), 26540, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4192, 13367, F4, 2, 35) (dual of [(13367, 2), 26542, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4192, 13367, F4, 35) (dual of [13367, 13175, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4192, 16409, F4, 35) (dual of [16409, 16217, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,14]) [i] based on
- linear OA(4183, 16385, F4, 35) (dual of [16385, 16202, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4155, 16385, F4, 29) (dual of [16385, 16230, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(49, 24, F4, 5) (dual of [24, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to C([0,17]) ⊂ C([0,14]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4192, 16409, F4, 35) (dual of [16409, 16217, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4192, 13367, F4, 35) (dual of [13367, 13175, 36]-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.