Information on Result #1187954
Digital (221, 257, 14567)-net over F4, using net defined by OOA based on linear OOA(4257, 14567, F4, 36, 36) (dual of [(14567, 36), 524155, 37]-NRT-code), using
- OA 18-folding and stacking [i] based on linear OA(4257, 262206, F4, 36) (dual of [262206, 261949, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4257, 262208, F4, 36) (dual of [262208, 261951, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- linear OA(4244, 262144, F4, 37) (dual of [262144, 261900, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(413, 64, F4, 6) (dual of [64, 51, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(4257, 262208, F4, 36) (dual of [262208, 261951, 37]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (222, 258, 14567)-net over F4 | [i] | Net Duplication | |