Information on Result #691182
Linear OA(990, 99, F9, 71) (dual of [99, 9, 72]-code), using construction X applied to Ce(70) ⊂ Ce(59) based on
- linear OA(978, 81, F9, 71) (dual of [81, 3, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(972, 81, F9, 60) (dual of [81, 9, 61]-code), using an extension Ce(59) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(912, 18, F9, 10) (dual of [18, 6, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 20, F9, 10) (dual of [20, 8, 11]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OA(912, 20, F9, 10) (dual of [20, 8, 11]-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(990, 99, F9, 70) (dual of [99, 9, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(988, 97, F9, 69) (dual of [97, 9, 70]-code) | [i] | Truncation | |
| 3 | Linear OA(986, 95, F9, 67) (dual of [95, 9, 68]-code) | [i] | ||
| 4 | Linear OA(985, 94, F9, 66) (dual of [94, 9, 67]-code) | [i] | ||
| 5 | Linear OA(984, 93, F9, 65) (dual of [93, 9, 66]-code) | [i] | ||