Information on Result #691509
Linear OA(931, 48, F9, 20) (dual of [48, 17, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) based on
- linear OA(928, 41, F9, 20) (dual of [41, 13, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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(93, 7, F9, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,9) or 7-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), 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 OA(930, 47, F9, 19) (dual of [47, 17, 20]-code) | [i] | Truncation | |
| 2 | Linear OOA(931, 24, F9, 2, 20) (dual of [(24, 2), 17, 21]-NRT-code) | [i] | OOA Folding | |