Information on Result #689282
Linear OA(942, 59061, F9, 9) (dual of [59061, 59019, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(941, 59050, F9, 9) (dual of [59050, 59009, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(931, 59050, F9, 7) (dual of [59050, 59019, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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 OOA(942, 19687, F9, 3, 9) (dual of [(19687, 3), 59019, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(942, 14765, F9, 9, 9) (dual of [(14765, 9), 132843, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |