Information on Result #698558
Linear OA(6483, 262175, F64, 26) (dual of [262175, 262092, 27]-code), using construction X applied to Ce(25) ⊂ Ce(17) 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(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(647, 31, F64, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,64)), using
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- Reed–Solomon code RS(57,64) [i]
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), 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(32100, 262175, S32, 26) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6483, 230736, F64, 2, 26) (dual of [(230736, 2), 461389, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6483, 230736, F64, 3, 26) (dual of [(230736, 3), 692125, 27]-NRT-code) | [i] | ||
| 4 | Digital (57, 83, 230736)-net over F64 | [i] | ||
| 5 | Linear OOA(6483, 131087, F64, 2, 26) (dual of [(131087, 2), 262091, 27]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6483, 87391, F64, 3, 26) (dual of [(87391, 3), 262090, 27]-NRT-code) | [i] | ||