Information on Result #1186142
Digital (62, 73, 52430)-net over F4, using net defined by OOA based on linear OOA(473, 52430, F4, 11, 11) (dual of [(52430, 11), 576657, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(473, 262151, F4, 11) (dual of [262151, 262078, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(473, 262153, F4, 11) (dual of [262153, 262080, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(473, 262144, F4, 11) (dual of [262144, 262071, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 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(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(473, 262153, F4, 11) (dual of [262153, 262080, 12]-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 (68, 79, 52439)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (69, 80, 52446)-net over F4 | [i] | ||