Information on Result #691489
Linear OA(924, 42, F9, 16) (dual of [42, 18, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) 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(923, 41, F9, 15) (dual of [41, 18, 16]-code), using an extension Ce(14) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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.
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(925, 43, F9, 16) (dual of [43, 18, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(922, 40, F9, 14) (dual of [40, 18, 15]-code) | [i] | Truncation | |
| 3 | Linear OOA(924, 21, F9, 2, 16) (dual of [(21, 2), 18, 17]-NRT-code) | [i] | OOA Folding | |