Information on Result #675880
Linear OA(3246, 2194, F3, 53) (dual of [2194, 1948, 54]-code), using construction X applied to Ce(52) ⊂ Ce(51) based on
- linear OA(3246, 2187, F3, 53) (dual of [2187, 1941, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [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(3247, 2195, F3, 53) (dual of [2195, 1948, 54]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3246, 1097, F3, 2, 53) (dual of [(1097, 2), 1948, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3246, 731, F3, 3, 53) (dual of [(731, 3), 1947, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(3246, 548, F3, 4, 53) (dual of [(548, 4), 1946, 54]-NRT-code) | [i] | ||
| 5 | Linear OOA(3246, 438, F3, 5, 53) (dual of [(438, 5), 1944, 54]-NRT-code) | [i] | ||