Information on Result #612373
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
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(3246, 1898, F3, 2, 53) (dual of [(1898, 2), 3550, 54]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3246, 1898, F3, 3, 53) (dual of [(1898, 3), 5448, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 1898, F3, 4, 53) (dual of [(1898, 4), 7346, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(3246, 1898, F3, 5, 53) (dual of [(1898, 5), 9244, 54]-NRT-code) | [i] | ||
| 5 | Digital (193, 246, 1898)-net over F3 | [i] | ||
| 6 | Linear OA(3246, 2194, F3, 53) (dual of [2194, 1948, 54]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(3249, 2200, F3, 53) (dual of [2200, 1951, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(3250, 2205, F3, 53) (dual of [2205, 1955, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(3248, 2197, F3, 53) (dual of [2197, 1949, 54]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |