Information on Result #904743
Linear OOA(8180, 3431, F81, 2, 31) (dual of [(3431, 2), 6782, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8119, 150, F81, 2, 15) (dual of [(150, 2), 281, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,284P) [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- linear OOA(8161, 3281, F81, 2, 31) (dual of [(3281, 2), 6501, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8161, 6562, F81, 31) (dual of [6562, 6501, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8161, 6562, F81, 31) (dual of [6562, 6501, 32]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(8180, 1715, F81, 4, 31) (dual of [(1715, 4), 6780, 32]-NRT-code) | [i] | OOA Folding | |