Information on Result #675903
Linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3120, 2194, F3, 26) (dual of [2194, 2074, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3114, 2195, F3, 25) (dual of [2195, 2081, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(3130, 2200, F3, 28) (dual of [2200, 2070, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(3131, 2205, F3, 28) (dual of [2205, 2074, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(3114, 2202, F3, 24) (dual of [2202, 2088, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(3116, 2200, F3, 25) (dual of [2200, 2084, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3117, 2205, F3, 25) (dual of [2205, 2088, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3139, 2207, F3, 29) (dual of [2207, 2068, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(3140, 2214, F3, 29) (dual of [2214, 2074, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(3120, 2214, F3, 25) (dual of [2214, 2094, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(3119, 2214, F3, 24) (dual of [2214, 2095, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3164, 2238, F3, 32) (dual of [2238, 2074, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(3161, 2229, F3, 32) (dual of [2229, 2068, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(3162, 2236, F3, 32) (dual of [2236, 2074, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(3127, 2236, F3, 24) (dual of [2236, 2109, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(3150, 2218, F3, 31) (dual of [2218, 2068, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(3148, 2216, F3, 30) (dual of [2216, 2068, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(3143, 2219, F3, 29) (dual of [2219, 2076, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(3142, 2217, F3, 29) (dual of [2217, 2075, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(3129, 2197, F3, 28) (dual of [2197, 2068, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(3132, 2209, F3, 27) (dual of [2209, 2077, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(3131, 2207, F3, 27) (dual of [2207, 2076, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(3133, 2208, F3, 28) (dual of [2208, 2075, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(3122, 2197, F3, 26) (dual of [2197, 2075, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(3115, 2197, F3, 25) (dual of [2197, 2082, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(3118, 2209, F3, 24) (dual of [2209, 2091, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(3117, 2207, F3, 24) (dual of [2207, 2090, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(3116, 2205, F3, 24) (dual of [2205, 2089, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(3122, 2218, F3, 25) (dual of [2218, 2096, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(3120, 2216, F3, 24) (dual of [2216, 2096, 25]-code) | [i] | ✔ | |
| 31 | Linear OOA(3113, 729, F3, 3, 25) (dual of [(729, 3), 2074, 26]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(3113, 437, F3, 5, 25) (dual of [(437, 5), 2072, 26]-NRT-code) | [i] | ||