Information on Result #1727602
Digital (40, 56, 1013)-net over F8, using net defined by OOA based on linear OOA(856, 1013, F8, 21, 16) (dual of [(1013, 21), 21217, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(856, 3040, F8, 3, 16) (dual of [(3040, 3), 9064, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(856, 3041, F8, 3, 16) (dual of [(3041, 3), 9067, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(856, 3041, F8, 16) (dual of [3041, 2985, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(856, 4096, F8, 16) (dual of [4096, 4040, 17]-code), using
- 1 times truncation [i] based on linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(856, 4096, F8, 16) (dual of [4096, 4040, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(856, 3041, F8, 16) (dual of [3041, 2985, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(856, 3041, F8, 3, 16) (dual of [(3041, 3), 9067, 17]-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.