Information on Result #672008
Linear OA(6483, 262275, F64, 23) (dual of [262275, 262192, 24]-code), using (u, u+v)-construction based on
- linear OA(6416, 130, F64, 11) (dual of [130, 114, 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(6411, 65, F64, 11) (dual of [65, 54, 12]-code or 65-arc in PG(10,64)), using
- extended Reed–Solomon code RSe(54,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 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(6483, 87425, F64, 3, 23) (dual of [(87425, 3), 262192, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6483, 23843, F64, 23, 23) (dual of [(23843, 23), 548306, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |