Information on Result #904720
Linear OOA(8172, 3381, F81, 2, 29) (dual of [(3381, 2), 6690, 30]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8115, 100, F81, 2, 14) (dual of [(100, 2), 185, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,185P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8157, 3281, F81, 2, 29) (dual of [(3281, 2), 6505, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-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(8172, 1690, F81, 4, 29) (dual of [(1690, 4), 6688, 30]-NRT-code) | [i] | OOA Folding | |