Information on Result #691164
Linear OA(951, 93, F9, 30) (dual of [93, 42, 31]-code), using construction X applied to Ce(29) ⊂ Ce(23) based on
- linear OA(945, 81, F9, 30) (dual of [81, 36, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(939, 81, F9, 24) (dual of [81, 42, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(96, 12, F9, 5) (dual of [12, 6, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 16, F9, 5) (dual of [16, 10, 6]-code), using
- 4 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 4 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 16, F9, 5) (dual of [16, 10, 6]-code), 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(950, 92, F9, 29) (dual of [92, 42, 30]-code) | [i] | Truncation | |
| 2 | Linear OOA(951, 46, F9, 2, 30) (dual of [(46, 2), 41, 31]-NRT-code) | [i] | OOA Folding | |