Information on Result #1479047
Linear OOA(4174, 3665729, F4, 3, 18) (dual of [(3665729, 3), 10997013, 19]-NRT-code), using OOA 2-folding based on linear OOA(4174, 7331458, F4, 2, 18) (dual of [(7331458, 2), 14662742, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4174, 7331459, F4, 2, 18) (dual of [(7331459, 2), 14662744, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4174, 7331459, F4, 18) (dual of [7331459, 7331285, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4174, large, F4, 18) (dual of [large, large−174, 19]-code), using
- 17 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 17 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4174, large, F4, 18) (dual of [large, large−174, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4174, 7331459, F4, 18) (dual of [7331459, 7331285, 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.