Information on Result #1745632
Digital (14, 29, 992)-net over F81, using net defined by OOA based on linear OOA(8129, 992, F81, 20, 15) (dual of [(992, 20), 19811, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8129, 1985, F81, 4, 15) (dual of [(1985, 4), 7911, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 1986, F81, 4, 15) (dual of [(1986, 4), 7915, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8129, 1986, F81, 3, 15) (dual of [(1986, 3), 5929, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 2187, F81, 3, 15) (dual of [(2187, 3), 6532, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 2187, F81, 3, 15) (dual of [(2187, 3), 6532, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8129, 1986, F81, 3, 15) (dual of [(1986, 3), 5929, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 1986, F81, 4, 15) (dual of [(1986, 4), 7915, 16]-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.