Information on Result #698538
Linear OA(6451, 262167, F64, 16) (dual of [262167, 262116, 17]-code), using construction X applied to Ce(15) ⊂ Ce(9) based on
- 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(6428, 262144, F64, 10) (dual of [262144, 262116, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(645, 23, F64, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), 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 OOA(6451, 262167, F64, 2, 16) (dual of [(262167, 2), 524283, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6451, 262167, F64, 3, 16) (dual of [(262167, 3), 786450, 17]-NRT-code) | [i] | ||
| 3 | Digital (35, 51, 262167)-net over F64 | [i] | ||
| 4 | Linear OOA(6451, 131083, F64, 2, 16) (dual of [(131083, 2), 262115, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6451, 87389, F64, 3, 16) (dual of [(87389, 3), 262116, 17]-NRT-code) | [i] | ||