Information on Result #1543263
Linear OOA(4223, 6698915, F4, 3, 23) (dual of [(6698915, 3), 20096522, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4223, 6698915, F4, 23) (dual of [6698915, 6698692, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4223, large, F4, 23) (dual of [large, large−223, 24]-code), using
- 18 times code embedding in larger space [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 18 times code embedding in larger space [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-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(4223, 1674728, F4, 27, 23) (dual of [(1674728, 27), 45217433, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |