Information on Result #689271
Linear OA(9102, 59061, F9, 23) (dual of [59061, 58959, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(9103, 59062, F9, 23) (dual of [59062, 58959, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9120, 59143, F9, 23) (dual of [59143, 59023, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(9102, 42143, F9, 2, 23) (dual of [(42143, 2), 84184, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(9102, 42143, F9, 3, 23) (dual of [(42143, 3), 126327, 24]-NRT-code) | [i] | ||
| 5 | Digital (79, 102, 42143)-net over F9 | [i] | ||
| 6 | Linear OOA(9102, 29530, F9, 2, 23) (dual of [(29530, 2), 58958, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9102, 19687, F9, 3, 23) (dual of [(19687, 3), 58959, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(9102, 5369, F9, 23, 23) (dual of [(5369, 23), 123385, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |