Information on Result #1299392
Linear OA(3237, 273, F3, 117) (dual of [273, 36, 118]-code), using construction X with Varšamov bound based on
- linear OA(3210, 242, F3, 120) (dual of [242, 32, 121]-code), using
- the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(3210, 246, F3, 99) (dual of [246, 36, 100]-code), using Gilbert–Varšamov bound and bm = 3210 > Vbs−1(k−1) = 9987 827826 242435 401040 002638 832368 132854 281441 967888 304889 461178 475345 941083 435738 784614 095606 840115 [i]
- linear OA(323, 27, F3, 17) (dual of [27, 4, 18]-code), using
- a code of Belov type defined by PG(3,3) ∖ PG(2,3) [i]
Mode: 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(3237, 273, F3, 116) (dual of [273, 36, 117]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3246, 286, F3, 117) (dual of [286, 40, 118]-code) | [i] | Construction X with Varšamov Bound | |