Information on Result #3261465
Digital (47, 58, 52431)-net over F8, using 82 times duplication based on digital (45, 56, 52431)-net over F8, using
- net defined by OOA [i] based on linear OOA(856, 52431, F8, 11, 11) (dual of [(52431, 11), 576685, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(856, 262156, F8, 11) (dual of [262156, 262100, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(856, 262157, F8, 11) (dual of [262157, 262101, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(856, 262157, F8, 11) (dual of [262157, 262101, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(856, 262156, F8, 11) (dual of [262156, 262100, 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
None.