Information on Result #1616139
Linear OOA(2240, 2097236, F2, 4, 19) (dual of [(2097236, 4), 8388704, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(232, 86, F2, 4, 9) (dual of [(86, 4), 312, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(232, 86, F2, 2, 9) (dual of [(86, 2), 140, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(232, 172, F2, 9) (dual of [172, 140, 10]-code), using
- adding a parity check bit [i] based on linear OA(231, 171, F2, 8) (dual of [171, 140, 9]-code), using
- a “Gra†code from Grassl’s database [i]
- adding a parity check bit [i] based on linear OA(231, 171, F2, 8) (dual of [171, 140, 9]-code), using
- OOA 2-folding [i] based on linear OA(232, 172, F2, 9) (dual of [172, 140, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(232, 86, F2, 2, 9) (dual of [(86, 2), 140, 10]-NRT-code), using
- linear OOA(2208, 2097150, F2, 4, 19) (dual of [(2097150, 4), 8388392, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- OOA 4-folding [i] based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 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.