Information on Result #1841665
(43, 76, 1024)-net in base 64, using net defined by OOA based on OOA(6476, 1024, S64, 33, 33), using
- OOA 16-folding and stacking with additional row [i] based on OA(6476, 16385, S64, 33), using
- discarding factors based on OA(6476, 16386, S64, 33), using
- discarding parts of the base [i] based on linear OA(12865, 16386, F128, 33) (dual of [16386, 16321, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(31) [i] based on
- linear OA(12865, 16384, F128, 33) (dual of [16384, 16319, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(31) [i] based on
- discarding parts of the base [i] based on linear OA(12865, 16386, F128, 33) (dual of [16386, 16321, 34]-code), using
- discarding factors based on OA(6476, 16386, S64, 33), using
Mode: Constructive.
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 | (43, 75, 1024)-net in base 64 | [i] | m-Reduction | |