Information on Result #1747464
Digital (24, 45, 2140)-net over F128, using net defined by OOA based on linear OOA(12845, 2140, F128, 28, 21) (dual of [(2140, 28), 59875, 22]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12845, 6421, F128, 4, 21) (dual of [(6421, 4), 25639, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12845, 6422, F128, 4, 21) (dual of [(6422, 4), 25643, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12845, 6422, F128, 2, 21) (dual of [(6422, 2), 12799, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12845, 8199, F128, 2, 21) (dual of [(8199, 2), 16353, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12845, 16398, F128, 21) (dual of [16398, 16353, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(1284, 14, F128, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(12845, 16398, F128, 21) (dual of [16398, 16353, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(12845, 8199, F128, 2, 21) (dual of [(8199, 2), 16353, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12845, 6422, F128, 2, 21) (dual of [(6422, 2), 12799, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12845, 6422, F128, 4, 21) (dual of [(6422, 4), 25643, 22]-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.