Information on Result #737927
Linear OA(9133, 59102, F9, 27) (dual of [59102, 58969, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(912, 52, F9, 7) (dual of [52, 40, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 67, F9, 7) (dual of [67, 55, 8]-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(9135, 59104, F9, 27) (dual of [59104, 58969, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9136, 59105, F9, 27) (dual of [59105, 58969, 28]-code) | [i] | ||
| 3 | Linear OOA(9133, 29551, F9, 2, 27) (dual of [(29551, 2), 58969, 28]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9133, 19700, F9, 3, 27) (dual of [(19700, 3), 58967, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(9133, 4546, F9, 27, 27) (dual of [(4546, 27), 122609, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |