Information on Result #1729144
Digital (141, 167, 419442)-net over F8, using net defined by OOA based on linear OOA(8167, 419442, F8, 33, 26) (dual of [(419442, 33), 13841419, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8167, 2097211, F8, 3, 26) (dual of [(2097211, 3), 6291466, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8167, 2097213, F8, 3, 26) (dual of [(2097213, 3), 6291472, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8167, 2097213, F8, 26) (dual of [2097213, 2097046, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(812, 61, F8, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8167, 2097213, F8, 26) (dual of [2097213, 2097046, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(8167, 2097213, F8, 3, 26) (dual of [(2097213, 3), 6291472, 27]-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.