Information on Result #2216082
Linear OA(9127, 135, F9, 97) (dual of [135, 8, 98]-code), using strength reduction based on linear OA(9127, 135, F9, 98) (dual of [135, 8, 99]-code), using
- juxtaposition [i] based on
- linear OA(933, 41, F9, 27) (dual of [41, 8, 28]-code), using
- linear OA(986, 94, F9, 70) (dual of [94, 8, 71]-code), using
- construction X applied to Ce(69) ⊂ Ce(60) [i] based on
- linear OA(977, 81, F9, 70) (dual of [81, 4, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(973, 81, F9, 61) (dual of [81, 8, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(99, 13, F9, 8) (dual of [13, 4, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 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]
- 1 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(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- construction X applied to Ce(69) ⊂ Ce(60) [i] based on
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9127, 45, F9, 3, 97) (dual of [(45, 3), 8, 98]-NRT-code) | [i] | OOA Folding | |