Information on Result #675885
Linear OA(3218, 2194, F3, 47) (dual of [2194, 1976, 48]-code), using construction X applied to Ce(46) ⊂ Ce(45) based on
- linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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(3219, 2195, F3, 47) (dual of [2195, 1976, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3227, 2226, F3, 47) (dual of [2226, 1999, 48]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3228, 2238, F3, 47) (dual of [2238, 2010, 48]-code) | [i] | ||
| 4 | Linear OA(3229, 2255, F3, 47) (dual of [2255, 2026, 48]-code) | [i] | ||
| 5 | Linear OA(3230, 2278, F3, 47) (dual of [2278, 2048, 48]-code) | [i] | ||
| 6 | Linear OA(3231, 2308, F3, 47) (dual of [2308, 2077, 48]-code) | [i] | ||
| 7 | Linear OA(3232, 2344, F3, 47) (dual of [2344, 2112, 48]-code) | [i] | ||
| 8 | Linear OA(3233, 2388, F3, 47) (dual of [2388, 2155, 48]-code) | [i] | ||
| 9 | Linear OA(3234, 2437, F3, 47) (dual of [2437, 2203, 48]-code) | [i] | ||
| 10 | Linear OA(3235, 2491, F3, 47) (dual of [2491, 2256, 48]-code) | [i] | ||
| 11 | Linear OA(3236, 2548, F3, 47) (dual of [2548, 2312, 48]-code) | [i] | ||
| 12 | Linear OA(3240, 2800, F3, 47) (dual of [2800, 2560, 48]-code) | [i] | ||
| 13 | Linear OA(3241, 2867, F3, 47) (dual of [2867, 2626, 48]-code) | [i] | ||
| 14 | Linear OOA(3218, 1097, F3, 2, 47) (dual of [(1097, 2), 1976, 48]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(3218, 731, F3, 3, 47) (dual of [(731, 3), 1975, 48]-NRT-code) | [i] | ||
| 16 | Linear OOA(3218, 548, F3, 4, 47) (dual of [(548, 4), 1974, 48]-NRT-code) | [i] | ||
| 17 | Linear OOA(3218, 438, F3, 5, 47) (dual of [(438, 5), 1972, 48]-NRT-code) | [i] | ||