Information on Result #698547
Linear OA(6473, 262171, F64, 23) (dual of [262171, 262098, 24]-code), using construction X applied to Ce(22) ⊂ Ce(15) based on
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(646, 27, F64, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), 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(3288, 262171, S32, 23) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6473, 214659, F64, 2, 23) (dual of [(214659, 2), 429245, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6473, 214659, F64, 3, 23) (dual of [(214659, 3), 643904, 24]-NRT-code) | [i] | ||
| 4 | Digital (50, 73, 214659)-net over F64 | [i] | ||
| 5 | Linear OOA(6473, 131085, F64, 2, 23) (dual of [(131085, 2), 262097, 24]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6473, 87390, F64, 3, 23) (dual of [(87390, 3), 262097, 24]-NRT-code) | [i] | ||