Information on Result #1568425
Linear OOA(2259, 2796235, F2, 3, 21) (dual of [(2796235, 3), 8388446, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 34, F2, 3, 10) (dual of [(34, 3), 74, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 34, F2, 2, 10) (dual of [(34, 2), 40, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(228, 68, F2, 10) (dual of [68, 40, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(228, 69, F2, 10) (dual of [69, 41, 11]-code), using
- a “Gra†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(228, 69, F2, 10) (dual of [69, 41, 11]-code), using
- OOA 2-folding [i] based on linear OA(228, 68, F2, 10) (dual of [68, 40, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 34, F2, 2, 10) (dual of [(34, 2), 40, 11]-NRT-code), using
- linear OOA(2231, 2796201, F2, 3, 21) (dual of [(2796201, 3), 8388372, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.