Information on Result #691202
Linear OA(953, 95, F9, 31) (dual of [95, 42, 32]-code), using construction X applied to Ce(30) ⊂ Ce(23) based on
- linear OA(946, 81, F9, 31) (dual of [81, 35, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(97, 14, F9, 6) (dual of [14, 7, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-code), using
- 3 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]
- 3 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(97, 17, F9, 6) (dual of [17, 10, 7]-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 OOA(953, 47, F9, 2, 31) (dual of [(47, 2), 41, 32]-NRT-code) | [i] | OOA Folding | |