Information on Result #1745552
Digital (24, 37, 132860)-net over F81, using net defined by OOA based on linear OOA(8137, 132860, F81, 15, 13) (dual of [(132860, 15), 1992863, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8137, 265721, F81, 3, 13) (dual of [(265721, 3), 797126, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8137, 265722, F81, 3, 13) (dual of [(265722, 3), 797129, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8137, 265722, F81, 2, 13) (dual of [(265722, 2), 531407, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8137, 265722, F81, 2, 13) (dual of [(265722, 2), 531407, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8137, 265722, F81, 3, 13) (dual of [(265722, 3), 797129, 14]-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.