Information on Result #1719010
Digital (114, 137, 8013)-net over F4, using net defined by OOA based on linear OOA(4137, 8013, F4, 27, 23) (dual of [(8013, 27), 216214, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4137, 32053, F4, 3, 23) (dual of [(32053, 3), 96022, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4137, 32054, F4, 3, 23) (dual of [(32054, 3), 96025, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4137, 32054, F4, 2, 23) (dual of [(32054, 2), 63971, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4137, 32772, F4, 2, 23) (dual of [(32772, 2), 65407, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4137, 65544, F4, 23) (dual of [65544, 65407, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [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(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(4137, 65544, F4, 23) (dual of [65544, 65407, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(4137, 32772, F4, 2, 23) (dual of [(32772, 2), 65407, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4137, 32054, F4, 2, 23) (dual of [(32054, 2), 63971, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4137, 32054, F4, 3, 23) (dual of [(32054, 3), 96025, 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.