Information on Result #698413
Linear OA(6484, 262192, F64, 25) (dual of [262192, 262108, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,6]) based on
- linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(6411, 47, F64, 11) (dual of [47, 36, 12]-code or 47-arc in PG(10,64)), using
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), using
- Reed–Solomon code RS(53,64) [i]
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), 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(6484, 131096, F64, 2, 25) (dual of [(131096, 2), 262108, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6484, 87397, F64, 3, 25) (dual of [(87397, 3), 262107, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(6484, 21849, F64, 25, 25) (dual of [(21849, 25), 546141, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |