Information on Result #1747716
Digital (26, 51, 1489)-net over F128, using net defined by OOA based on linear OOA(12851, 1489, F128, 28, 25) (dual of [(1489, 28), 41641, 26]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12851, 4468, F128, 4, 25) (dual of [(4468, 4), 17821, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12851, 4469, F128, 4, 25) (dual of [(4469, 4), 17825, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12851, 4469, F128, 3, 25) (dual of [(4469, 3), 13356, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12851, 5464, F128, 3, 25) (dual of [(5464, 3), 16341, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12851, 16392, F128, 25) (dual of [16392, 16341, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- OOA 3-folding [i] based on linear OA(12851, 16392, F128, 25) (dual of [16392, 16341, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(12851, 5464, F128, 3, 25) (dual of [(5464, 3), 16341, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12851, 4469, F128, 3, 25) (dual of [(4469, 3), 13356, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12851, 4469, F128, 4, 25) (dual of [(4469, 4), 17825, 26]-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.