Information on Result #2229347
Linear OA(371, 2194, F3, 15) (dual of [2194, 2123, 16]-code), using 1 times truncation based on linear OA(372, 2195, F3, 16) (dual of [2195, 2123, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(378, 2221, F3, 15) (dual of [2221, 2143, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(371, 1097, F3, 2, 15) (dual of [(1097, 2), 2123, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(371, 731, F3, 3, 15) (dual of [(731, 3), 2122, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(371, 548, F3, 4, 15) (dual of [(548, 4), 2121, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(371, 438, F3, 5, 15) (dual of [(438, 5), 2119, 16]-NRT-code) | [i] | ||