Information on Result #1747320
Digital (41, 59, 699060)-net over F128, using net defined by OOA based on linear OOA(12859, 699060, F128, 21, 18) (dual of [(699060, 21), 14680201, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12859, 2097181, F128, 3, 18) (dual of [(2097181, 3), 6291484, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12859, 2097183, F128, 3, 18) (dual of [(2097183, 3), 6291490, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12859, 2097183, F128, 18) (dual of [2097183, 2097124, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(9) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1287, 31, F128, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to Ce(17) ⊂ Ce(9) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12859, 2097183, F128, 18) (dual of [2097183, 2097124, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(12859, 2097183, F128, 3, 18) (dual of [(2097183, 3), 6291490, 19]-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.