Information on Result #1192330
Digital (98, 118, 52430)-net over F8, using net defined by OOA based on linear OOA(8118, 52430, F8, 20, 20) (dual of [(52430, 20), 1048482, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(8118, 524300, F8, 20) (dual of [524300, 524182, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8118, 524302, F8, 20) (dual of [524302, 524184, 21]-code), using
- trace code [i] based on linear OA(6459, 262151, F64, 20) (dual of [262151, 262092, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- trace code [i] based on linear OA(6459, 262151, F64, 20) (dual of [262151, 262092, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8118, 524302, F8, 20) (dual of [524302, 524184, 21]-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 (99, 119, 52430)-net over F8 | [i] | Net Duplication | |