Information on Result #2191956
Linear OA(3119, 135, F3, 66) (dual of [135, 16, 67]-code), using strength reduction based on linear OA(3119, 135, F3, 68) (dual of [135, 16, 69]-code), using
- construction XX applied to C([0,66]) ⊂ C([0,60]) ⊂ C([1,60]) [i] based on
- linear OA(3111, 121, F3, 68) (dual of [121, 10, 69]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,66], and minimum distance d ≥ |{−1,0,…,66}|+1 = 69 (BCH-bound) [i]
- 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(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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(3116, 132, F3, 63) (dual of [132, 16, 64]-code) | [i] | Truncation | |
| 2 | Linear OA(3115, 131, F3, 62) (dual of [131, 16, 63]-code) | [i] | ||
| 3 | Linear OA(3114, 130, F3, 61) (dual of [130, 16, 62]-code) | [i] | ||
| 4 | Linear OA(3111, 127, F3, 58) (dual of [127, 16, 59]-code) | [i] | ||
| 5 | Linear OA(3110, 126, F3, 57) (dual of [126, 16, 58]-code) | [i] | ||
| 6 | Linear OOA(3119, 27, F3, 5, 66) (dual of [(27, 5), 16, 67]-NRT-code) | [i] | OOA Folding | |