Information on Result #1814786
Digital (28, 56, 13108)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25656, 13108, F256, 5, 28) (dual of [(13108, 5), 65484, 29]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25656, 65540, F256, 28) (dual of [65540, 65484, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25656, 65541, F256, 28) (dual of [65541, 65485, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(25656, 65541, F256, 28) (dual of [65541, 65485, 29]-code), using
Mode: 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 (29, 57, 13108)-net over F256 | [i] | Net Duplication | |
| 2 | (36, 64, 13108)-net in base 128 | [i] | Base Change | |