Information on Result #880121
Linear OOA(25637, 32775, F256, 2, 17) (dual of [(32775, 2), 65513, 18]-NRT-code), using OOA 2-folding based on linear OA(25637, 65550, F256, 17) (dual of [65550, 65513, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), 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(25637, 24855, F256, 3, 17) (dual of [(24855, 3), 74528, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25637, 24855, F256, 4, 17) (dual of [(24855, 4), 99383, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(25637, 24855, F256, 5, 17) (dual of [(24855, 5), 124238, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(25637, 24855, F256, 6, 17) (dual of [(24855, 6), 149093, 18]-NRT-code) | [i] | ||
| 5 | Digital (20, 37, 24855)-net over F256 | [i] | ||