Information on Result #1747288
Digital (24, 42, 4478)-net over F128, using net defined by OOA based on linear OOA(12842, 4478, F128, 21, 18) (dual of [(4478, 21), 93996, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12842, 13435, F128, 3, 18) (dual of [(13435, 3), 40263, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12842, 13435, F128, 18) (dual of [13435, 13393, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12842, 16407, F128, 18) (dual of [16407, 16365, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(9) [i] based on
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-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
- discarding factors / shortening the dual code based on linear OA(12842, 16407, F128, 18) (dual of [16407, 16365, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12842, 13435, F128, 18) (dual of [13435, 13393, 19]-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.