Information on Result #691511
Linear OA(926, 46, F9, 16) (dual of [46, 20, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- linear OA(924, 41, F9, 16) (dual of [41, 17, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(921, 41, F9, 13) (dual of [41, 20, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(92, 5, F9, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(926, 23, F9, 2, 16) (dual of [(23, 2), 20, 17]-NRT-code) | [i] | OOA Folding | |