Information on Result #1567557
Linear OOA(25653, 59446, F256, 3, 22) (dual of [(59446, 3), 178285, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25653, 59446, F256, 22) (dual of [59446, 59393, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(25653, 65568, F256, 22) (dual of [65568, 65515, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(10) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(25610, 32, F256, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,256)), using
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- Reed–Solomon code RS(246,256) [i]
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- construction X applied to Ce(21) ⊂ Ce(10) [i] based on
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 | Linear OOA(25653, 29723, F256, 5, 22) (dual of [(29723, 5), 148562, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25653, 29723, F256, 6, 22) (dual of [(29723, 6), 178285, 23]-NRT-code) | [i] | ||