Information on Result #1729078
Digital (107, 133, 26214)-net over F8, using net defined by OOA based on linear OOA(8133, 26214, F8, 33, 26) (dual of [(26214, 33), 864929, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8133, 131071, F8, 3, 26) (dual of [(131071, 3), 393080, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8133, 131075, F8, 3, 26) (dual of [(131075, 3), 393092, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8133, 131075, F8, 2, 26) (dual of [(131075, 2), 262017, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8133, 262150, F8, 26) (dual of [262150, 262017, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- OOA 2-folding [i] based on linear OA(8133, 262150, F8, 26) (dual of [262150, 262017, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8133, 131075, F8, 2, 26) (dual of [(131075, 2), 262017, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8133, 131075, F8, 3, 26) (dual of [(131075, 3), 393092, 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.