Information on Result #1539209
Linear OOA(4171, 5653325, F4, 3, 18) (dual of [(5653325, 3), 16959804, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4171, 5653325, F4, 18) (dual of [5653325, 5653154, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4171, large, F4, 18) (dual of [large, large−171, 19]-code), using
- 14 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]
- 14 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(4171, 1884441, F4, 21, 18) (dual of [(1884441, 21), 39573090, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |