Information on Result #1842140
OOA(12875, 5052, S128, 27, 27), using OOA 13-folding and stacking with additional row 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
Mode: Constructive.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (48, 75, 5052)-net in base 128 | [i] | Net Defined by OOA | |