Information on Result #688959
Linear OA(930, 4782985, F9, 5) (dual of [4782985, 4782955, 6]-code), using construction X applied to C([0,2]) ⊂ C([0,1]) based on
- linear OA(929, 4782970, F9, 5) (dual of [4782970, 4782941, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(915, 4782970, F9, 3) (dual of [4782970, 4782955, 4]-code or 4782970-cap in PG(14,9)), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound) [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 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(930, 2391492, F9, 3, 5) (dual of [(2391492, 3), 7174446, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 2 | Linear OOA(930, 2391492, F9, 5, 5) (dual of [(2391492, 5), 11957430, 6]-NRT-code) | [i] | ||