Information on Result #2882478
Linear OOA(25661, 13108, F256, 5, 30) (dual of [(13108, 5), 65479, 31]-NRT-code), using 2561 times duplication based on linear OOA(25660, 13108, F256, 5, 30) (dual of [(13108, 5), 65480, 31]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25660, 65540, F256, 30) (dual of [65540, 65480, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(25660, 65541, F256, 30) (dual of [65541, 65481, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
- linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(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(29) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(25660, 65541, F256, 30) (dual of [65541, 65481, 31]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25661, 13108, F256, 6, 30) (dual of [(13108, 6), 78587, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (31, 61, 13108)-net over F256 | [i] | ||