Information on Result #2266926
Linear OA(3223, 3295, F3, 42) (dual of [3295, 3072, 43]-code), using 1 times code embedding in larger space based on linear OA(3222, 3294, F3, 42) (dual of [3294, 3072, 43]-code), using
- construction X applied to Ce(42) ⊂ Ce(39) [i] based on
- 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(3209, 3281, F3, 40) (dual of [3281, 3072, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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 OOA(3223, 659, F3, 5, 42) (dual of [(659, 5), 3072, 43]-NRT-code) | [i] | OOA Folding | |