Information on Result #1740762
Digital (13, 25, 197)-net over F32, using net defined by OOA based on linear OOA(3225, 197, F32, 14, 12) (dual of [(197, 14), 2733, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3225, 592, F32, 2, 12) (dual of [(592, 2), 1159, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3225, 594, F32, 2, 12) (dual of [(594, 2), 1163, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3225, 594, F32, 12) (dual of [594, 569, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3225, 1032, F32, 12) (dual of [1032, 1007, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- linear OA(3223, 1024, F32, 12) (dual of [1024, 1001, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3217, 1024, F32, 9) (dual of [1024, 1007, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(3225, 1032, F32, 12) (dual of [1032, 1007, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3225, 594, F32, 12) (dual of [594, 569, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(3225, 594, F32, 2, 12) (dual of [(594, 2), 1163, 13]-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.