Information on Result #1727634
Digital (56, 72, 10926)-net over F8, using net defined by OOA based on linear OOA(872, 10926, F8, 21, 16) (dual of [(10926, 21), 229374, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(872, 32779, F8, 3, 16) (dual of [(32779, 3), 98265, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(872, 32779, F8, 16) (dual of [32779, 32707, 17]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(872, 32779, F8, 16) (dual of [32779, 32707, 17]-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.