Information on Result #1727606
Digital (42, 58, 1365)-net over F8, using net defined by OOA based on linear OOA(858, 1365, F8, 21, 16) (dual of [(1365, 21), 28607, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(858, 4096, F8, 3, 16) (dual of [(4096, 3), 12230, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(858, 4096, F8, 16) (dual of [4096, 4038, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(858, 4105, F8, 16) (dual of [4105, 4047, 17]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 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
- discarding factors / shortening the dual code based on linear OA(858, 4105, F8, 16) (dual of [4105, 4047, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(858, 4096, F8, 16) (dual of [4096, 4038, 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.