Information on Result #1414717
Linear OOA(3198, 2372, F3, 2, 39) (dual of [(2372, 2), 4546, 40]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3198, 2372, F3, 39) (dual of [2372, 2174, 40]-code), using
- 170 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 10 times 0, 1, 15 times 0, 1, 19 times 0, 1, 25 times 0, 1, 32 times 0, 1, 40 times 0) [i] based on linear OA(3182, 2186, F3, 39) (dual of [2186, 2004, 40]-code), using
- 1 times truncation [i] based on linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- 1 times truncation [i] based on linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using
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 OOA(3198, 1186, F3, 3, 39) (dual of [(1186, 3), 3360, 40]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3198, 1186, F3, 4, 39) (dual of [(1186, 4), 4546, 40]-NRT-code) | [i] | ||