Information on Result #1729210
Digital (96, 123, 6559)-net over F8, using net defined by OOA based on linear OOA(8123, 6559, F8, 33, 27) (dual of [(6559, 33), 216324, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8123, 32796, F8, 3, 27) (dual of [(32796, 3), 98265, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 32800, F8, 3, 27) (dual of [(32800, 3), 98277, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8123, 32800, F8, 27) (dual of [32800, 32677, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8123, 32800, F8, 27) (dual of [32800, 32677, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 32800, F8, 3, 27) (dual of [(32800, 3), 98277, 28]-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.