Information on Result #844751
Linear OOA(8169, 4194301, F8, 2, 25) (dual of [(4194301, 2), 8388433, 26]-NRT-code), using OOA 2-folding based on linear OA(8169, 8388602, F8, 25) (dual of [8388602, 8388433, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, large, F8, 25) (dual of [large, large−169, 26]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
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(8169, 4194301, F8, 2, 24) (dual of [(4194301, 2), 8388433, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8171, 4194302, F8, 2, 25) (dual of [(4194302, 2), 8388433, 26]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8173, 4194303, F8, 2, 25) (dual of [(4194303, 2), 8388433, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(8170, 4194301, F8, 2, 25) (dual of [(4194301, 2), 8388432, 26]-NRT-code) | [i] | OOA Duplication | |