Information on Result #675923
Linear OA(3249, 2200, F3, 53) (dual of [2200, 1951, 54]-code), using construction X applied to Ce(52) ⊂ Ce(49) based on
- 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 [i]
- linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [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 OOA(3249, 2028, F3, 2, 53) (dual of [(2028, 2), 3807, 54]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3249, 2028, F3, 3, 53) (dual of [(2028, 3), 5835, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 2028, F3, 4, 53) (dual of [(2028, 4), 7863, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(3249, 2028, F3, 5, 53) (dual of [(2028, 5), 9891, 54]-NRT-code) | [i] | ||
| 5 | Digital (196, 249, 2028)-net over F3 | [i] | ||
| 6 | Linear OOA(3249, 1100, F3, 2, 53) (dual of [(1100, 2), 1951, 54]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3249, 733, F3, 3, 53) (dual of [(733, 3), 1950, 54]-NRT-code) | [i] | ||
| 8 | Linear OOA(3249, 550, F3, 4, 53) (dual of [(550, 4), 1951, 54]-NRT-code) | [i] | ||
| 9 | Linear OOA(3249, 440, F3, 5, 53) (dual of [(440, 5), 1951, 54]-NRT-code) | [i] | ||