Information on Result #691371
Linear OA(989, 98, F9, 71) (dual of [98, 9, 72]-code), using construction XX applied to Ce(70) ⊂ Ce(60) ⊂ 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(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(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(910, 16, F9, 9) (dual of [16, 6, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(989, 98, F9, 70) (dual of [98, 9, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(989, 98, F9, 69) (dual of [98, 9, 70]-code) | [i] | ||
| 3 | Linear OA(988, 97, F9, 70) (dual of [97, 9, 71]-code) | [i] | Truncation | |
| 4 | Linear OA(986, 95, F9, 68) (dual of [95, 9, 69]-code) | [i] | ||
| 5 | Linear OA(985, 94, F9, 67) (dual of [94, 9, 68]-code) | [i] | ||
| 6 | Linear OA(984, 93, F9, 66) (dual of [93, 9, 67]-code) | [i] | ||
| 7 | Linear OA(9116, 125, F9, 87) (dual of [125, 9, 88]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(9117, 126, F9, 88) (dual of [126, 9, 89]-code) | [i] | ||
| 9 | Linear OA(9119, 128, F9, 89) (dual of [128, 9, 90]-code) | [i] | ||
| 10 | Linear OA(9121, 130, F9, 90) (dual of [130, 9, 91]-code) | [i] | ||
| 11 | Linear OOA(989, 49, F9, 2, 71) (dual of [(49, 2), 9, 72]-NRT-code) | [i] | OOA Folding | |