Information on Result #698514
Linear OA(6483, 262163, F64, 27) (dual of [262163, 262080, 28]-code), using construction X applied to Ce(26) ⊂ Ce(21) based on
- linear OA(6479, 262144, F64, 27) (dual of [262144, 262065, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(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(16125, 262163, S16, 27) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(32100, 262163, S32, 27) | [i] | ||
| 3 | Linear OOA(6483, 135681, F64, 2, 27) (dual of [(135681, 2), 271279, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(6483, 135681, F64, 3, 27) (dual of [(135681, 3), 406960, 28]-NRT-code) | [i] | ||
| 5 | Digital (56, 83, 135681)-net over F64 | [i] | ||
| 6 | Linear OOA(6483, 131081, F64, 2, 27) (dual of [(131081, 2), 262079, 28]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(6483, 87387, F64, 3, 27) (dual of [(87387, 3), 262078, 28]-NRT-code) | [i] | ||