Information on Result #1746190
Digital (28, 51, 1262)-net over F81, using net defined by OOA based on linear OOA(8151, 1262, F81, 28, 23) (dual of [(1262, 28), 35285, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8151, 3787, F81, 4, 23) (dual of [(3787, 4), 15097, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8151, 3787, F81, 23) (dual of [3787, 3736, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 6581, F81, 23) (dual of [6581, 6530, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(15) [i] based on
- linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(816, 20, F81, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- construction X applied to Ce(22) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(8151, 6581, F81, 23) (dual of [6581, 6530, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8151, 3787, F81, 23) (dual of [3787, 3736, 24]-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.