Information on Result #1719686
Digital (139, 166, 6556)-net over F4, using net defined by OOA based on linear OOA(4166, 6556, F4, 33, 27) (dual of [(6556, 33), 216182, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4166, 32781, F4, 3, 27) (dual of [(32781, 3), 98177, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4166, 32782, F4, 3, 27) (dual of [(32782, 3), 98180, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4166, 32782, F4, 2, 27) (dual of [(32782, 2), 65398, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4166, 65564, F4, 27) (dual of [65564, 65398, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4166, 65565, F4, 27) (dual of [65565, 65399, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(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(26) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(4166, 65565, F4, 27) (dual of [65565, 65399, 28]-code), using
- OOA 2-folding [i] based on linear OA(4166, 65564, F4, 27) (dual of [65564, 65398, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4166, 32782, F4, 2, 27) (dual of [(32782, 2), 65398, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4166, 32782, F4, 3, 27) (dual of [(32782, 3), 98180, 28]-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.