Information on Result #2228486
Linear OA(3102, 118, F3, 57) (dual of [118, 16, 58]-code), using 5 times truncation based on linear OA(3107, 123, F3, 62) (dual of [123, 16, 63]-code), using
- construction X applied to C([0,60]) ⊂ C([1,60]) [i] based on
- linear OA(3106, 121, F3, 62) (dual of [121, 15, 63]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,60], and minimum distance d ≥ |{−1,0,…,60}|+1 = 63 (BCH-bound) [i]
- linear OA(3105, 121, F3, 60) (dual of [121, 16, 61]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3108, 126, F3, 54) (dual of [126, 18, 55]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3109, 126, F3, 57) (dual of [126, 17, 58]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(3114, 133, F3, 57) (dual of [133, 19, 58]-code) | [i] | ||
| 4 | Linear OA(3118, 139, F3, 57) (dual of [139, 21, 58]-code) | [i] | ||
| 5 | Linear OOA(3102, 59, F3, 2, 57) (dual of [(59, 2), 16, 58]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3102, 39, F3, 3, 57) (dual of [(39, 3), 15, 58]-NRT-code) | [i] | ||