Information on Result #675737
Linear OA(3238, 3298, F3, 45) (dual of [3298, 3060, 46]-code), using construction X applied to Ce(45) ⊂ Ce(42) based on
- linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3221, 3281, F3, 43) (dual of [3281, 3060, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(31, 17, F3, 1) (dual of [17, 16, 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(3239, 3299, F3, 45) (dual of [3299, 3060, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3238, 1649, F3, 2, 45) (dual of [(1649, 2), 3060, 46]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3238, 1099, F3, 3, 45) (dual of [(1099, 3), 3059, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3238, 824, F3, 4, 45) (dual of [(824, 4), 3058, 46]-NRT-code) | [i] | ||
| 5 | Linear OOA(3238, 659, F3, 5, 45) (dual of [(659, 5), 3057, 46]-NRT-code) | [i] | ||