Information on Result #611965
Linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)
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(3112, 2187, F3, 24) (dual of [2187, 2075, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(3127, 2239, F3, 25) (dual of [2239, 2112, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3128, 2253, F3, 25) (dual of [2253, 2125, 26]-code) | [i] | ||
| 4 | Linear OA(3125, 2201, F3, 25) (dual of [2201, 2076, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(3128, 2203, F3, 27) (dual of [2203, 2075, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(3114, 2203, F3, 23) (dual of [2203, 2089, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(3116, 2192, F3, 25) (dual of [2192, 2076, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3117, 2198, F3, 25) (dual of [2198, 2081, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(3118, 2207, F3, 25) (dual of [2207, 2089, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(3115, 2192, F3, 24) (dual of [2192, 2077, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(3116, 2201, F3, 24) (dual of [2201, 2085, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3149, 2216, F3, 31) (dual of [2216, 2067, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(3151, 2224, F3, 31) (dual of [2224, 2073, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(3152, 2227, F3, 31) (dual of [2227, 2075, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(3149, 2224, F3, 30) (dual of [2224, 2075, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(3146, 2208, F3, 29) (dual of [2208, 2062, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(3147, 2222, F3, 29) (dual of [2222, 2075, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(3121, 2216, F3, 25) (dual of [2216, 2095, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(3123, 2224, F3, 25) (dual of [2224, 2101, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(3124, 2227, F3, 25) (dual of [2227, 2103, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(3121, 2224, F3, 24) (dual of [2224, 2103, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(3118, 2208, F3, 23) (dual of [2208, 2090, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(3119, 2222, F3, 23) (dual of [2222, 2103, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(3172, 2247, F3, 33) (dual of [2247, 2075, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(3151, 2226, F3, 31) (dual of [2226, 2075, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(3123, 2226, F3, 25) (dual of [2226, 2103, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(3170, 2232, F3, 33) (dual of [2232, 2062, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(3171, 2246, F3, 33) (dual of [2246, 2075, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(3142, 2218, F3, 27) (dual of [2218, 2076, 28]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 30 | Linear OOA(3113, 1094, F3, 2, 25) (dual of [(1094, 2), 2075, 26]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(3113, 547, F3, 4, 25) (dual of [(547, 4), 2075, 26]-NRT-code) | [i] | ||