Information on Result #698576
Linear OA(6485, 262183, F64, 26) (dual of [262183, 262098, 27]-code), using construction X applied to Ce(25) ⊂ Ce(15) based on
- linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(649, 39, F64, 9) (dual of [39, 30, 10]-code or 39-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), 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(6485, 262183, F64, 2, 26) (dual of [(262183, 2), 524281, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6485, 262183, F64, 3, 26) (dual of [(262183, 3), 786464, 27]-NRT-code) | [i] | ||
| 3 | Digital (59, 85, 262183)-net over F64 | [i] | ||
| 4 | Linear OOA(6485, 131091, F64, 2, 26) (dual of [(131091, 2), 262097, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6485, 87394, F64, 3, 26) (dual of [(87394, 3), 262097, 27]-NRT-code) | [i] | ||