Information on Result #700399
Linear OA(25647, 65550, F256, 22) (dual of [65550, 65503, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) 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(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(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 OA(1694, 131100, F16, 22) (dual of [131100, 131006, 23]-code) | [i] | Trace Code | |
| 2 | OA(3276, 65550, S32, 22) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6463, 65550, S64, 22) | [i] | ||
| 4 | OA(12854, 65550, S128, 22) | [i] | ||
| 5 | Linear OOA(25647, 32775, F256, 2, 22) (dual of [(32775, 2), 65503, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(25647, 21850, F256, 3, 22) (dual of [(21850, 3), 65503, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(25647, 16387, F256, 4, 22) (dual of [(16387, 4), 65501, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(25647, 13110, F256, 5, 22) (dual of [(13110, 5), 65503, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(25647, 10925, F256, 6, 22) (dual of [(10925, 6), 65503, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(25647, 5959, F256, 22, 22) (dual of [(5959, 22), 131051, 23]-NRT-code) | [i] | OA Folding and Stacking | |