Information on Result #1720144
Digital (149, 179, 6439)-net over F4, using net defined by OOA based on linear OOA(4179, 6439, F4, 33, 30) (dual of [(6439, 33), 212308, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4179, 32196, F4, 3, 30) (dual of [(32196, 3), 96409, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 32198, F4, 3, 30) (dual of [(32198, 3), 96415, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4179, 32198, F4, 2, 30) (dual of [(32198, 2), 64217, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 32773, F4, 2, 30) (dual of [(32773, 2), 65367, 31]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4177, 32772, F4, 2, 30) (dual of [(32772, 2), 65367, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4177, 65544, F4, 30) (dual of [65544, 65367, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(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(29) ⊂ Ce(28) [i] based on
- OOA 2-folding [i] based on linear OA(4177, 65544, F4, 30) (dual of [65544, 65367, 31]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4177, 32772, F4, 2, 30) (dual of [(32772, 2), 65367, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 32773, F4, 2, 30) (dual of [(32773, 2), 65367, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4179, 32198, F4, 2, 30) (dual of [(32198, 2), 64217, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 32198, F4, 3, 30) (dual of [(32198, 3), 96415, 31]-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.