Information on Result #1727632
Digital (55, 71, 9431)-net over F8, using net defined by OOA based on linear OOA(871, 9431, F8, 21, 16) (dual of [(9431, 21), 197980, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(871, 28294, F8, 3, 16) (dual of [(28294, 3), 84811, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(871, 28294, F8, 16) (dual of [28294, 28223, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(871, 32773, F8, 16) (dual of [32773, 32702, 17]-code), using
- 1 times truncation [i] based on linear OA(872, 32774, F8, 17) (dual of [32774, 32702, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [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(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(81, 6, F8, 1) (dual of [6, 5, 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(14) [i] based on
- 1 times truncation [i] based on linear OA(872, 32774, F8, 17) (dual of [32774, 32702, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(871, 32773, F8, 16) (dual of [32773, 32702, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(871, 28294, F8, 16) (dual of [28294, 28223, 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.