Information on Result #698517
Linear OA(6474, 262163, F64, 24) (dual of [262163, 262089, 25]-code), using construction X applied to Ce(23) ⊂ Ce(18) 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(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), 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(3289, 262163, S32, 24) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6474, 141486, F64, 2, 24) (dual of [(141486, 2), 282898, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6474, 141486, F64, 3, 24) (dual of [(141486, 3), 424384, 25]-NRT-code) | [i] | ||
| 4 | Digital (50, 74, 141486)-net over F64 | [i] | ||
| 5 | Linear OOA(6474, 131081, F64, 2, 24) (dual of [(131081, 2), 262088, 25]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6474, 87387, F64, 3, 24) (dual of [(87387, 3), 262087, 25]-NRT-code) | [i] | ||