Information on Result #1421461
Linear OOA(4101, 6763714, F4, 2, 11) (dual of [(6763714, 2), 13527327, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4101, 6763714, F4, 11) (dual of [6763714, 6763613, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4101, large, F4, 11) (dual of [large, large−101, 12]-code), using
- 4 times code embedding in larger space [i] based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 4 times code embedding in larger space [i] based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-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(4101, 3381857, F4, 3, 11) (dual of [(3381857, 3), 10145470, 12]-NRT-code) | [i] | OOA Folding | |