Information on Result #737051
Linear OA(3249, 2225, F3, 52) (dual of [2225, 1976, 53]-code), using construction X applied to Ce(51) ⊂ Ce(45) based on
- 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(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(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), 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(3248, 2224, F3, 51) (dual of [2224, 1976, 52]-code) | [i] | Truncation | |
| 2 | Linear OA(3250, 2227, F3, 52) (dual of [2227, 1977, 53]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(3249, 1112, F3, 2, 52) (dual of [(1112, 2), 1975, 53]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3249, 556, F3, 4, 52) (dual of [(556, 4), 1975, 53]-NRT-code) | [i] | ||
| 5 | Linear OOA(3249, 445, F3, 5, 52) (dual of [(445, 5), 1976, 53]-NRT-code) | [i] | ||