Information on Result #1719186
Digital (121, 145, 8192)-net over F4, using net defined by OOA based on linear OOA(4145, 8192, F4, 27, 24) (dual of [(8192, 27), 221039, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4145, 32769, F4, 3, 24) (dual of [(32769, 3), 98162, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4145, 32772, F4, 3, 24) (dual of [(32772, 3), 98171, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4145, 32772, F4, 2, 24) (dual of [(32772, 2), 65399, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4145, 65544, F4, 24) (dual of [65544, 65399, 25]-code), using
- 1 times truncation [i] based on linear OA(4146, 65545, F4, 25) (dual of [65545, 65399, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(4145, 65536, F4, 25) (dual of [65536, 65391, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(4146, 65545, F4, 25) (dual of [65545, 65399, 26]-code), using
- OOA 2-folding [i] based on linear OA(4145, 65544, F4, 24) (dual of [65544, 65399, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4145, 32772, F4, 2, 24) (dual of [(32772, 2), 65399, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4145, 32772, F4, 3, 24) (dual of [(32772, 3), 98171, 25]-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.