Information on Result #1476107
Linear OOA(3213, 3567257, F3, 3, 18) (dual of [(3567257, 3), 10701558, 19]-NRT-code), using OOA 2-folding based on linear OOA(3213, 7134514, F3, 2, 18) (dual of [(7134514, 2), 14268815, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3213, 7134515, F3, 2, 18) (dual of [(7134515, 2), 14268817, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3213, 7134515, F3, 18) (dual of [7134515, 7134302, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, large, F3, 18) (dual of [large, large−213, 19]-code), using
- 33 times code embedding in larger space [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 33 times code embedding in larger space [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, large, F3, 18) (dual of [large, large−213, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3213, 7134515, F3, 18) (dual of [7134515, 7134302, 19]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.