Information on Result #1567392
Linear OOA(25639, 21949, F256, 3, 18) (dual of [(21949, 3), 65808, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25639, 21949, F256, 2, 18) (dual of [(21949, 2), 43859, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25639, 32775, F256, 2, 18) (dual of [(32775, 2), 65511, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25639, 65550, F256, 18) (dual of [65550, 65511, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(25639, 65550, F256, 18) (dual of [65550, 65511, 19]-code), using
Mode: 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 | OOA(12845, 21949, S128, 3, 18) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25639, 10974, F256, 6, 18) (dual of [(10974, 6), 65805, 19]-NRT-code) | [i] | OOA Folding | |