Information on Result #689301
Linear OA(9128, 59087, F9, 27) (dual of [59087, 58959, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,10]) 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(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(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(9129, 59088, F9, 27) (dual of [59088, 58959, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9130, 59089, F9, 27) (dual of [59089, 58959, 28]-code) | [i] | ||
| 3 | Linear OOA(9128, 29543, F9, 2, 27) (dual of [(29543, 2), 58958, 28]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9128, 19695, F9, 3, 27) (dual of [(19695, 3), 58957, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(9128, 4545, F9, 27, 27) (dual of [(4545, 27), 122587, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |