Information on Result #1538056
Linear OOA(4153, 6934053, F4, 3, 16) (dual of [(6934053, 3), 20802006, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4153, 6934053, F4, 16) (dual of [6934053, 6933900, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4153, large, F4, 16) (dual of [large, large−153, 17]-code), using
- 9 times code embedding in larger space [i] based on linear OA(4144, large, F4, 16) (dual of [large, large−144, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 9 times code embedding in larger space [i] based on linear OA(4144, large, F4, 16) (dual of [large, large−144, 17]-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(4153, 2311350, F4, 21, 16) (dual of [(2311350, 21), 48538197, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |