Information on Result #698411
Linear OA(6470, 262184, F64, 21) (dual of [262184, 262114, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,5]) based on
- linear OA(6461, 262145, F64, 21) (dual of [262145, 262084, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6431, 262145, F64, 11) (dual of [262145, 262114, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(6470, 131092, F64, 2, 21) (dual of [(131092, 2), 262114, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6470, 87394, F64, 3, 21) (dual of [(87394, 3), 262112, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(6470, 26218, F64, 21, 21) (dual of [(26218, 21), 550508, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |