Information on Result #1728934
Digital (112, 137, 65547)-net over F8, using net defined by OOA based on linear OOA(8137, 65547, F8, 27, 25) (dual of [(65547, 27), 1769632, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8137, 262189, F8, 3, 25) (dual of [(262189, 3), 786430, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8137, 262190, F8, 3, 25) (dual of [(262190, 3), 786433, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8137, 262190, F8, 25) (dual of [262190, 262053, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(810, 46, F8, 6) (dual of [46, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8137, 262190, F8, 25) (dual of [262190, 262053, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(8137, 262190, F8, 3, 25) (dual of [(262190, 3), 786433, 26]-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.