Information on Result #1834651
OOA(12846, 21889, S128, 3, 17), using OOA 3-folding based on OA(12846, 65667, S128, 17), using
- (u, u+v)-construction [i] based on
- linear OA(1288, 129, F128, 8) (dual of [129, 121, 9]-code or 129-arc in PG(7,128)), using
- extended Reed–Solomon code RSe(121,128) [i]
- OA(12838, 65538, S128, 17), using
- discarding parts of the base [i] based on linear OA(25633, 65538, F256, 17) (dual of [65538, 65505, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(16) ⊂ Ce(15) [i] based on
- discarding parts of the base [i] based on linear OA(25633, 65538, F256, 17) (dual of [65538, 65505, 18]-code), using
- linear OA(1288, 129, F128, 8) (dual of [129, 121, 9]-code or 129-arc in PG(7,128)), using
Mode: Constructive.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.