Information on Result #1720584
Digital (168, 201, 5464)-net over F4, using net defined by OOA based on linear OOA(4201, 5464, F4, 39, 33) (dual of [(5464, 39), 212895, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4201, 32785, F4, 3, 33) (dual of [(32785, 3), 98154, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4201, 32785, F4, 2, 33) (dual of [(32785, 2), 65369, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4201, 65570, F4, 33) (dual of [65570, 65369, 34]-code), using
- construction XX applied to Ce(32) ⊂ Ce(28) ⊂ Ce(26) [i] based on
- linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(45, 31, F4, 3) (dual of [31, 26, 4]-code or 31-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
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- construction XX applied to Ce(32) ⊂ Ce(28) ⊂ Ce(26) [i] based on
- OOA 2-folding [i] based on linear OA(4201, 65570, F4, 33) (dual of [65570, 65369, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4201, 32785, F4, 2, 33) (dual of [(32785, 2), 65369, 34]-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.