Information on Result #2252921
Linear OA(962, 95, F9, 38) (dual of [95, 33, 39]-code), using 2 times truncation based on linear OA(964, 97, F9, 40) (dual of [97, 33, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(31) [i] based on
- linear OA(956, 81, F9, 40) (dual of [81, 25, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(948, 81, F9, 32) (dual of [81, 33, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(98, 16, F9, 7) (dual of [16, 8, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(98, 18, F9, 7) (dual of [18, 10, 8]-code), using
- 2 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]
- 2 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(98, 18, F9, 7) (dual of [18, 10, 8]-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(3213, 267, F3, 77) (dual of [267, 54, 78]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(3212, 264, F3, 77) (dual of [264, 52, 78]-code) | [i] | ||
| 3 | Linear OOA(962, 47, F9, 2, 38) (dual of [(47, 2), 32, 39]-NRT-code) | [i] | OOA Folding | |