Information on Result #1747394
Digital (22, 42, 1821)-net over F128, using net defined by OOA based on linear OOA(12842, 1821, F128, 28, 20) (dual of [(1821, 28), 50946, 21]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12842, 5464, F128, 4, 20) (dual of [(5464, 4), 21814, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12842, 5465, F128, 4, 20) (dual of [(5465, 4), 21818, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12842, 5465, F128, 3, 20) (dual of [(5465, 3), 16353, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12842, 16395, F128, 20) (dual of [16395, 16353, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- 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(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(1283, 11, F128, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,128) or 11-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- OOA 3-folding [i] based on linear OA(12842, 16395, F128, 20) (dual of [16395, 16353, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12842, 5465, F128, 3, 20) (dual of [(5465, 3), 16353, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12842, 5465, F128, 4, 20) (dual of [(5465, 4), 21818, 21]-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.