Information on Result #675887
Linear OA(3204, 2194, F3, 44) (dual of [2194, 1990, 45]-code), using construction X applied to Ce(43) ⊂ Ce(42) based on
- linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(3205, 2195, F3, 44) (dual of [2195, 1990, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3214, 2228, F3, 44) (dual of [2228, 2014, 45]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3215, 2241, F3, 44) (dual of [2241, 2026, 45]-code) | [i] | ||
| 4 | Linear OA(3216, 2258, F3, 44) (dual of [2258, 2042, 45]-code) | [i] | ||
| 5 | Linear OA(3217, 2280, F3, 44) (dual of [2280, 2063, 45]-code) | [i] | ||
| 6 | Linear OA(3218, 2308, F3, 44) (dual of [2308, 2090, 45]-code) | [i] | ||
| 7 | Linear OA(3219, 2342, F3, 44) (dual of [2342, 2123, 45]-code) | [i] | ||
| 8 | Linear OA(3220, 2384, F3, 44) (dual of [2384, 2164, 45]-code) | [i] | ||
| 9 | Linear OA(3221, 2432, F3, 44) (dual of [2432, 2211, 45]-code) | [i] | ||
| 10 | Linear OA(3222, 2485, F3, 44) (dual of [2485, 2263, 45]-code) | [i] | ||
| 11 | Linear OA(3223, 2544, F3, 44) (dual of [2544, 2321, 45]-code) | [i] | ||
| 12 | Linear OA(3224, 2606, F3, 44) (dual of [2606, 2382, 45]-code) | [i] | ||
| 13 | Linear OA(3225, 2671, F3, 44) (dual of [2671, 2446, 45]-code) | [i] | ||
| 14 | Linear OA(3226, 2739, F3, 44) (dual of [2739, 2513, 45]-code) | [i] | ||
| 15 | Linear OOA(3204, 1097, F3, 2, 44) (dual of [(1097, 2), 1990, 45]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(3204, 731, F3, 3, 44) (dual of [(731, 3), 1989, 45]-NRT-code) | [i] | ||
| 17 | Linear OOA(3204, 548, F3, 4, 44) (dual of [(548, 4), 1988, 45]-NRT-code) | [i] | ||
| 18 | Linear OOA(3204, 438, F3, 5, 44) (dual of [(438, 5), 1986, 45]-NRT-code) | [i] | ||