Information on Result #1186002
Digital (47, 56, 65538)-net over F4, using net defined by OOA based on linear OOA(456, 65538, F4, 9, 9) (dual of [(65538, 9), 589786, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(456, 262153, F4, 9) (dual of [262153, 262097, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(456, 262154, F4, 9) (dual of [262154, 262098, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(41, 10, F4, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(456, 262154, F4, 9) (dual of [262154, 262098, 10]-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 (48, 57, 65538)-net over F4 | [i] | Net Duplication | |