Information on Result #672009
Linear OA(6484, 262290, F64, 23) (dual of [262290, 262206, 24]-code), using (u, u+v)-construction based on
- linear OA(6417, 145, F64, 11) (dual of [145, 128, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- extended Reed–Solomon code RSe(60,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(6412, 80, F64, 11) (dual of [80, 68, 12]-code), using
- extended algebraic-geometric code AGe(F,68P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- (u, u+v)-construction [i] based on
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
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(6484, 87430, F64, 3, 23) (dual of [(87430, 3), 262206, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6484, 23844, F64, 23, 23) (dual of [(23844, 23), 548328, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |