Information on Result #1718894
Digital (129, 151, 32771)-net over F4, using net defined by OOA based on linear OOA(4151, 32771, F4, 27, 22) (dual of [(32771, 27), 884666, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4151, 131085, F4, 3, 22) (dual of [(131085, 3), 393104, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4151, 131088, F4, 3, 22) (dual of [(131088, 3), 393113, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4151, 131088, F4, 2, 22) (dual of [(131088, 2), 262025, 23]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4150, 131088, F4, 2, 22) (dual of [(131088, 2), 262026, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4150, 262176, F4, 22) (dual of [262176, 262026, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-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(21) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(4150, 262176, F4, 22) (dual of [262176, 262026, 23]-code), using
- 41 times duplication [i] based on linear OOA(4150, 131088, F4, 2, 22) (dual of [(131088, 2), 262026, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4151, 131088, F4, 2, 22) (dual of [(131088, 2), 262025, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4151, 131088, F4, 3, 22) (dual of [(131088, 3), 393113, 23]-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.