Information on Result #689302
Linear OA(9118, 59087, F9, 25) (dual of [59087, 58969, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(9111, 59050, F9, 25) (dual of [59050, 58939, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 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(9119, 59088, F9, 25) (dual of [59088, 58969, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9120, 59089, F9, 25) (dual of [59089, 58969, 26]-code) | [i] | ||
| 3 | Linear OA(9121, 59090, F9, 25) (dual of [59090, 58969, 26]-code) | [i] | ||
| 4 | Linear OA(9122, 59091, F9, 25) (dual of [59091, 58969, 26]-code) | [i] | ||
| 5 | Linear OOA(9118, 29543, F9, 2, 25) (dual of [(29543, 2), 58968, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9118, 19695, F9, 3, 25) (dual of [(19695, 3), 58967, 26]-NRT-code) | [i] | ||