Information on Result #1842141
(48, 75, 5052)-net in base 128, using net defined by OOA based on OOA(12875, 5052, S128, 27, 27), using
- OOA 13-folding and stacking with additional row [i] based on OA(12875, 65677, S128, 27), using
- discarding factors based on OA(12875, 65688, S128, 27), using
- (u, u+v)-construction [i] based on
- linear OA(12814, 150, F128, 13) (dual of [150, 136, 14]-code), using
- extended algebraic-geometric code AGe(F,136P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- OA(12861, 65538, S128, 27), using
- discarding parts of the base [i] based on linear OA(25653, 65538, F256, 27) (dual of [65538, 65485, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(25653, 65536, F256, 27) (dual of [65536, 65483, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- discarding parts of the base [i] based on linear OA(25653, 65538, F256, 27) (dual of [65538, 65485, 28]-code), using
- linear OA(12814, 150, F128, 13) (dual of [150, 136, 14]-code), using
- (u, u+v)-construction [i] based on
- discarding factors based on OA(12875, 65688, S128, 27), using
Mode: Constructive.
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.