Information on Result #1568422
Linear OOA(2257, 2796232, F2, 3, 20) (dual of [(2796232, 3), 8388439, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(227, 31, F2, 3, 10) (dual of [(31, 3), 66, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(227, 31, F2, 2, 10) (dual of [(31, 2), 35, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(227, 62, F2, 10) (dual of [62, 35, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(227, 63, F2, 10) (dual of [63, 36, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(227, 63, F2, 10) (dual of [63, 36, 11]-code), using
- OOA 2-folding [i] based on linear OA(227, 62, F2, 10) (dual of [62, 35, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(227, 31, F2, 2, 10) (dual of [(31, 2), 35, 11]-NRT-code), using
- linear OOA(2230, 2796201, F2, 3, 20) (dual of [(2796201, 3), 8388373, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-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.