Information on Result #698503
Linear OA(6473, 262159, F64, 24) (dual of [262159, 262086, 25]-code), using construction X applied to Ce(23) ⊂ Ce(19) based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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 | Linear OA(8146, 524318, F8, 24) (dual of [524318, 524172, 25]-code) | [i] | Trace Code | |
| 2 | OA(16110, 262159, S16, 24) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3288, 262159, S32, 24) | [i] | ||
| 4 | Linear OOA(6473, 131079, F64, 2, 24) (dual of [(131079, 2), 262085, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6473, 87386, F64, 3, 24) (dual of [(87386, 3), 262085, 25]-NRT-code) | [i] | ||