Information on Result #1568409
Linear OOA(2236, 2796248, F2, 3, 19) (dual of [(2796248, 3), 8388508, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 47, F2, 3, 9) (dual of [(47, 3), 113, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 47, F2, 2, 9) (dual of [(47, 2), 66, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(228, 94, F2, 9) (dual of [94, 66, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(228, 95, F2, 9) (dual of [95, 67, 10]-code), using
- adding a parity check bit [i] based on linear OA(227, 94, F2, 8) (dual of [94, 67, 9]-code), using
- a “Gra†code from Grassl’s database [i]
- adding a parity check bit [i] based on linear OA(227, 94, F2, 8) (dual of [94, 67, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(228, 95, F2, 9) (dual of [95, 67, 10]-code), using
- OOA 2-folding [i] based on linear OA(228, 94, F2, 9) (dual of [94, 66, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 47, F2, 2, 9) (dual of [(47, 2), 66, 10]-NRT-code), using
- linear OOA(2208, 2796201, F2, 3, 19) (dual of [(2796201, 3), 8388395, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-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.