Information on Result #620995
Linear OA(2753, 56, F27, 51) (dual of [56, 3, 52]-code), using contraction based on linear OA(27109, 112, F27, 103) (dual of [112, 3, 104]-code), using the BCH-code C(I) with length 112 | 274−1, defining interval I = {55,66,77,…,−55}, and designed minimum distance d ≥ |I|+1 = 104 [i]
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(2753, 56, F27, 50) (dual of [56, 3, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2752, 55, F27, 50) (dual of [55, 3, 51]-code) | [i] | Truncation | |
| 3 | Linear OA(2750, 53, F27, 48) (dual of [53, 3, 49]-code) | [i] | ||
| 4 | Linear OA(2748, 51, F27, 46) (dual of [51, 3, 47]-code) | [i] | ||
| 5 | Linear OA(2747, 50, F27, 45) (dual of [50, 3, 46]-code) | [i] | ||
| 6 | Linear OA(2746, 49, F27, 44) (dual of [49, 3, 45]-code) | [i] | ||
| 7 | Linear OA(2745, 48, F27, 43) (dual of [48, 3, 44]-code) | [i] | ||