Information on Result #905820
Linear OOA(25654, 33030, F256, 2, 21) (dual of [(33030, 2), 66006, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25612, 259, F256, 2, 10) (dual of [(259, 2), 506, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 12, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- extracting embedded OOA [i] based on digital (2, 12, 259)-net over F256, using
- linear OOA(25642, 32771, F256, 2, 21) (dual of [(32771, 2), 65500, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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 C([0,10]) ⊂ C([0,9]) [i] based on
- OOA 2-folding [i] based on linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-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(25654, 16515, F256, 4, 21) (dual of [(16515, 4), 66006, 22]-NRT-code) | [i] | OOA Folding | |