Information on Result #1621083
Linear OOA(3215, 4092368, F3, 5, 18) (dual of [(4092368, 5), 20461625, 19]-NRT-code), using OOA 2-folding based on linear OOA(3215, 8184736, F3, 3, 18) (dual of [(8184736, 3), 24553993, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3215, 8184737, F3, 3, 18) (dual of [(8184737, 3), 24553996, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3215, 8184737, F3, 18) (dual of [8184737, 8184522, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3215, large, F3, 18) (dual of [large, large−215, 19]-code), using
- 35 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]
- 35 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(3215, large, F3, 18) (dual of [large, large−215, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3215, 8184737, F3, 18) (dual of [8184737, 8184522, 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.