Information on Result #893893
Linear OOA(4170, 8388602, F4, 2, 15) (dual of [(8388602, 2), 16777034, 16]-NRT-code), using trace code based on linear OOA(1685, 4194301, F16, 2, 15) (dual of [(4194301, 2), 8388517, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1685, 8388602, F16, 15) (dual of [8388602, 8388517, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1685, large, F16, 15) (dual of [large, large−85, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 1612−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(1685, large, F16, 15) (dual of [large, large−85, 16]-code), using
Mode: Constructive and 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(4170, 4194301, F4, 3, 15) (dual of [(4194301, 3), 12582733, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4170, 2097150, F4, 18, 15) (dual of [(2097150, 18), 37748530, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |