Information on Result #894024
Linear OOA(8170, 8388602, F8, 2, 22) (dual of [(8388602, 2), 16777034, 23]-NRT-code), using trace code based on linear OOA(6485, 4194301, F64, 2, 22) (dual of [(4194301, 2), 8388517, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6485, 8388602, F64, 22) (dual of [8388602, 8388517, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(6485, large, F64, 22) (dual of [large, large−85, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(6485, large, F64, 22) (dual of [large, large−85, 23]-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(8172, large, F8, 2, 22) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8171, 8388602, F8, 2, 22) (dual of [(8388602, 2), 16777033, 23]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(8170, 4194301, F8, 3, 22) (dual of [(4194301, 3), 12582733, 23]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8170, 1398100, F8, 26, 22) (dual of [(1398100, 26), 36350430, 23]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |