Information on Result #1748026
Digital (42, 74, 3176)-net over F128, using net defined by OOA based on linear OOA(12874, 3176, F128, 36, 32) (dual of [(3176, 36), 114262, 33]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12874, 12705, F128, 4, 32) (dual of [(12705, 4), 50746, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12874, 12707, F128, 4, 32) (dual of [(12707, 4), 50754, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12874, 12707, F128, 32) (dual of [12707, 12633, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(12874, 16419, F128, 32) (dual of [16419, 16345, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(19) [i] based on
- linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- construction X applied to Ce(31) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(12874, 16419, F128, 32) (dual of [16419, 16345, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12874, 12707, F128, 32) (dual of [12707, 12633, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(12874, 12707, F128, 4, 32) (dual of [(12707, 4), 50754, 33]-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.