Information on Result #686429
Linear OA(8128, 262188, F8, 23) (dual of [262188, 262060, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,8]) based on
- linear OA(8121, 262145, F8, 23) (dual of [262145, 262024, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(885, 262145, F8, 17) (dual of [262145, 262060, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 43, F8, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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 OA(8129, 262189, F8, 23) (dual of [262189, 262060, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8130, 262190, F8, 23) (dual of [262190, 262060, 24]-code) | [i] | ||
| 3 | Linear OA(8131, 262191, F8, 23) (dual of [262191, 262060, 24]-code) | [i] | ||
| 4 | Linear OA(8132, 262192, F8, 23) (dual of [262192, 262060, 24]-code) | [i] | ||
| 5 | Linear OA(8133, 262193, F8, 23) (dual of [262193, 262060, 24]-code) | [i] | ||
| 6 | Linear OOA(8128, 262188, F8, 2, 23) (dual of [(262188, 2), 524248, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(8128, 262188, F8, 3, 23) (dual of [(262188, 3), 786436, 24]-NRT-code) | [i] | ||
| 8 | Digital (105, 128, 262188)-net over F8 | [i] | ||
| 9 | Linear OA(8129, 262190, F8, 23) (dual of [262190, 262061, 24]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OOA(8128, 131094, F8, 2, 23) (dual of [(131094, 2), 262060, 24]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(8128, 87396, F8, 3, 23) (dual of [(87396, 3), 262060, 24]-NRT-code) | [i] | ||
| 12 | Linear OOA(8128, 23835, F8, 23, 23) (dual of [(23835, 23), 548077, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |