Information on Result #2227096
Linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code), using 1 times truncation based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [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(399, 19694, F3, 15) (dual of [19694, 19595, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3109, 59060, F3, 15) (dual of [59060, 58951, 16]-code) | [i] | ||
| 3 | Linear OA(3119, 177158, F3, 15) (dual of [177158, 177039, 16]-code) | [i] | ||
| 4 | Linear OA(3129, 531452, F3, 15) (dual of [531452, 531323, 16]-code) | [i] | ||
| 5 | Linear OA(3139, 1594334, F3, 15) (dual of [1594334, 1594195, 16]-code) | [i] | ||
| 6 | Linear OA(3149, 4782980, F3, 15) (dual of [4782980, 4782831, 16]-code) | [i] | ||
| 7 | Linear OA(392, 101, F3, 55) (dual of [101, 9, 56]-code) | [i] | Construction XX with Cyclic Codes | |
| 8 | Linear OA(3130, 143, F3, 73) (dual of [143, 13, 74]-code) | [i] | ||
| 9 | Linear OA(372, 90, F3, 36) (dual of [90, 18, 37]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(374, 95, F3, 35) (dual of [95, 21, 36]-code) | [i] | ||
| 11 | Linear OA(3109, 132, F3, 52) (dual of [132, 23, 53]-code) | [i] | ||
| 12 | Linear OA(3109, 131, F3, 53) (dual of [131, 22, 54]-code) | [i] | ||
| 13 | Linear OA(3110, 133, F3, 53) (dual of [133, 23, 54]-code) | [i] | ||
| 14 | Linear OA(3110, 132, F3, 54) (dual of [132, 22, 55]-code) | [i] | ||
| 15 | Linear OA(3112, 129, F3, 57) (dual of [129, 17, 58]-code) | [i] | ||
| 16 | Linear OA(3113, 130, F3, 58) (dual of [130, 17, 59]-code) | [i] | ||
| 17 | Linear OA(3114, 133, F3, 57) (dual of [133, 19, 58]-code) | [i] | ||
| 18 | Linear OA(3136, 155, F3, 69) (dual of [155, 19, 70]-code) | [i] | ||
| 19 | Linear OA(3144, 163, F3, 73) (dual of [163, 19, 74]-code) | [i] | ||
| 20 | Linear OA(3168, 190, F3, 85) (dual of [190, 22, 86]-code) | [i] | ||
| 21 | Linear OA(3169, 192, F3, 85) (dual of [192, 23, 86]-code) | [i] | ||
| 22 | Linear OA(3169, 191, F3, 86) (dual of [191, 22, 87]-code) | [i] | ||
| 23 | Linear OA(3194, 229, F3, 92) (dual of [229, 35, 93]-code) | [i] | ||
| 24 | Linear OA(3194, 228, F3, 93) (dual of [228, 34, 94]-code) | [i] | ||
| 25 | Linear OA(3195, 230, F3, 93) (dual of [230, 35, 94]-code) | [i] | ||
| 26 | Linear OA(3195, 229, F3, 94) (dual of [229, 34, 95]-code) | [i] | ||
| 27 | Linear OA(3112, 136, F3, 54) (dual of [136, 24, 55]-code) | [i] | ||
| 28 | Linear OA(3118, 141, F3, 57) (dual of [141, 23, 58]-code) | [i] | ||
| 29 | Linear OA(3118, 140, F3, 58) (dual of [140, 22, 59]-code) | [i] | ||
| 30 | Linear OA(3119, 142, F3, 58) (dual of [142, 23, 59]-code) | [i] | ||
| 31 | Linear OA(3119, 141, F3, 59) (dual of [141, 22, 60]-code) | [i] | ||
| 32 | Linear OOA(39, 6, F3, 2, 7) (dual of [(6, 2), 3, 8]-NRT-code) | [i] | OOA Folding | |