Information on Result #1727604
Digital (41, 57, 1176)-net over F8, using net defined by OOA based on linear OOA(857, 1176, F8, 21, 16) (dual of [(1176, 21), 24639, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(857, 3529, F8, 3, 16) (dual of [(3529, 3), 10530, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(857, 3530, F8, 3, 16) (dual of [(3530, 3), 10533, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(857, 3530, F8, 16) (dual of [3530, 3473, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(857, 4100, F8, 16) (dual of [4100, 4043, 17]-code), using
- 1 times truncation [i] based on linear OA(858, 4101, F8, 17) (dual of [4101, 4043, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [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(853, 4096, F8, 15) (dual of [4096, 4043, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 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(858, 4101, F8, 17) (dual of [4101, 4043, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(857, 4100, F8, 16) (dual of [4100, 4043, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(857, 3530, F8, 16) (dual of [3530, 3473, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(857, 3530, F8, 3, 16) (dual of [(3530, 3), 10533, 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.