Information on Result #698410
Linear OA(6476, 262184, F64, 23) (dual of [262184, 262108, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,6]) 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]
- linear OA(6437, 262145, F64, 13) (dual of [262145, 262108, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(6476, 262184, F64, 2, 23) (dual of [(262184, 2), 524292, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6476, 262184, F64, 3, 23) (dual of [(262184, 3), 786476, 24]-NRT-code) | [i] | ||
| 3 | Digital (53, 76, 262184)-net over F64 | [i] | ||
| 4 | Linear OOA(6476, 131092, F64, 2, 23) (dual of [(131092, 2), 262108, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6476, 87394, F64, 3, 23) (dual of [(87394, 3), 262106, 24]-NRT-code) | [i] | ||