Information on Result #612279
Linear OA(3190, 1094, F3, 43) (dual of [1094, 904, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3190, 1094, F3, 42) (dual of [1094, 904, 43]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3191, 1095, F3, 43) (dual of [1095, 904, 44]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3189, 1093, F3, 42) (dual of [1093, 904, 43]-code) | [i] | Truncation | |
| 4 | Linear OA(3188, 1092, F3, 41) (dual of [1092, 904, 42]-code) | [i] | ||
| 5 | Linear OA(3197, 1101, F3, 44) (dual of [1101, 904, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(3191, 1102, F3, 42) (dual of [1102, 911, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(3192, 1098, F3, 43) (dual of [1098, 906, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(3193, 1104, F3, 43) (dual of [1104, 911, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(3205, 1109, F3, 45) (dual of [1109, 904, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(3207, 1107, F3, 46) (dual of [1107, 900, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(3208, 1112, F3, 46) (dual of [1112, 904, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(3196, 1108, F3, 43) (dual of [1108, 912, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3195, 1113, F3, 42) (dual of [1113, 918, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(3216, 1114, F3, 47) (dual of [1114, 898, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(3217, 1121, F3, 47) (dual of [1121, 904, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(3206, 1104, F3, 46) (dual of [1104, 898, 47]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(3209, 1115, F3, 45) (dual of [1115, 906, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(3208, 1113, F3, 45) (dual of [1113, 905, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(3201, 1107, F3, 44) (dual of [1107, 906, 45]-code) | [i] | ✔ | |
| 20 | Linear OA(3200, 1105, F3, 44) (dual of [1105, 905, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(3196, 1109, F3, 43) (dual of [1109, 913, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(3194, 1107, F3, 42) (dual of [1107, 913, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(3195, 1107, F3, 43) (dual of [1107, 912, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(3193, 1105, F3, 42) (dual of [1105, 912, 43]-code) | [i] | ✔ | |
| 25 | Linear OOA(3190, 547, F3, 2, 43) (dual of [(547, 2), 904, 44]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(3190, 364, F3, 3, 43) (dual of [(364, 3), 902, 44]-NRT-code) | [i] | ||