Information on Result #691171
Linear OA(936, 91, F9, 20) (dual of [91, 55, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
- linear OA(932, 81, F9, 20) (dual of [81, 49, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(926, 81, F9, 15) (dual of [81, 55, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(94, 10, F9, 4) (dual of [10, 6, 5]-code or 10-arc in PG(3,9)), using
- extended Reed–Solomon code RSe(6,9) [i]
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(937, 92, F9, 20) (dual of [92, 55, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(935, 90, F9, 19) (dual of [90, 55, 20]-code) | [i] | Truncation | |
| 3 | Linear OOA(936, 45, F9, 2, 20) (dual of [(45, 2), 54, 21]-NRT-code) | [i] | OOA Folding | |