Information on Result #698502
Linear OA(6479, 262159, F64, 26) (dual of [262159, 262080, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), 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 | OA(16119, 262159, S16, 26) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3295, 262159, S32, 26) | [i] | ||
| 3 | Linear OOA(6479, 131079, F64, 2, 26) (dual of [(131079, 2), 262079, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(6479, 87386, F64, 3, 26) (dual of [(87386, 3), 262079, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(6479, 20166, F64, 26, 26) (dual of [(20166, 26), 524237, 27]-NRT-code) | [i] | OA Folding and Stacking | |