Information on Result #1717860
Digital (67, 81, 10923)-net over F4, using net defined by OOA based on linear OOA(481, 10923, F4, 21, 14) (dual of [(10923, 21), 229302, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(481, 32770, F4, 3, 14) (dual of [(32770, 3), 98229, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(481, 32772, F4, 3, 14) (dual of [(32772, 3), 98235, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(481, 32772, F4, 2, 14) (dual of [(32772, 2), 65463, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(481, 65544, F4, 14) (dual of [65544, 65463, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(481, 65536, F4, 14) (dual of [65536, 65455, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(481, 65544, F4, 14) (dual of [65544, 65463, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(481, 32772, F4, 2, 14) (dual of [(32772, 2), 65463, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(481, 32772, F4, 3, 14) (dual of [(32772, 3), 98235, 15]-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.