Information on Result #1719016
Digital (119, 142, 8195)-net over F4, using net defined by OOA based on linear OOA(4142, 8195, F4, 27, 23) (dual of [(8195, 27), 221123, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4142, 32781, F4, 3, 23) (dual of [(32781, 3), 98201, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4142, 32782, F4, 3, 23) (dual of [(32782, 3), 98204, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4142, 32782, F4, 2, 23) (dual of [(32782, 2), 65422, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4142, 65564, F4, 23) (dual of [65564, 65422, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4142, 65565, F4, 23) (dual of [65565, 65423, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- 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(4113, 65536, F4, 19) (dual of [65536, 65423, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(4142, 65565, F4, 23) (dual of [65565, 65423, 24]-code), using
- OOA 2-folding [i] based on linear OA(4142, 65564, F4, 23) (dual of [65564, 65422, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4142, 32782, F4, 2, 23) (dual of [(32782, 2), 65422, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4142, 32782, F4, 3, 23) (dual of [(32782, 3), 98204, 24]-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.