Information on Result #2252458
Linear OA(941, 77, F9, 26) (dual of [77, 36, 27]-code), using 5 times truncation based on linear OA(946, 82, F9, 31) (dual of [82, 36, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] 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(945, 81, F9, 30) (dual of [81, 36, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(9108, 134, F9, 53) (dual of [134, 26, 54]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(382, 154, F3, 26) (dual of [154, 72, 27]-code) | [i] | Trace Code | |
| 3 | Linear OA(3152, 210, F3, 53) (dual of [210, 58, 54]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(3151, 207, F3, 53) (dual of [207, 56, 54]-code) | [i] | ||
| 5 | Linear OA(3150, 204, F3, 53) (dual of [204, 54, 54]-code) | [i] | ||
| 6 | Linear OA(3149, 201, F3, 53) (dual of [201, 52, 54]-code) | [i] | ||
| 7 | Linear OA(3236, 308, F3, 80) (dual of [308, 72, 81]-code) | [i] | ||
| 8 | Linear OA(3234, 304, F3, 80) (dual of [304, 70, 81]-code) | [i] | ||
| 9 | Linear OA(3232, 300, F3, 80) (dual of [300, 68, 81]-code) | [i] | ||
| 10 | Linear OA(3230, 296, F3, 80) (dual of [296, 66, 81]-code) | [i] | ||
| 11 | Linear OA(3228, 292, F3, 80) (dual of [292, 64, 81]-code) | [i] | ||
| 12 | Linear OA(3226, 288, F3, 80) (dual of [288, 62, 81]-code) | [i] | ||
| 13 | Linear OA(3224, 284, F3, 80) (dual of [284, 60, 81]-code) | [i] | ||
| 14 | Linear OA(3222, 280, F3, 80) (dual of [280, 58, 81]-code) | [i] | ||
| 15 | Linear OA(3220, 276, F3, 80) (dual of [276, 56, 81]-code) | [i] | ||
| 16 | Linear OA(3216, 268, F3, 80) (dual of [268, 52, 81]-code) | [i] | ||
| 17 | Linear OOA(941, 38, F9, 2, 26) (dual of [(38, 2), 35, 27]-NRT-code) | [i] | OOA Folding | |