Information on Result #3324132
Digital (235, 257, 1198371)-net over F2, using 23 times duplication based on digital (232, 254, 1198371)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2254, 1198371, F2, 7, 22) (dual of [(1198371, 7), 8388343, 23]-NRT-code), using
- strength reduction [i] based on linear OOA(2254, 1198371, F2, 7, 23) (dual of [(1198371, 7), 8388343, 24]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2254, 8388597, F2, 23) (dual of [8388597, 8388343, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2254, large, F2, 23) (dual of [large, large−254, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(2254, large, F2, 23) (dual of [large, large−254, 24]-code), using
- OOA 7-folding [i] based on linear OA(2254, 8388597, F2, 23) (dual of [8388597, 8388343, 24]-code), using
- strength reduction [i] based on linear OOA(2254, 1198371, F2, 7, 23) (dual of [(1198371, 7), 8388343, 24]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.