Information on Result #670249
Linear OA(8178, 6734, F81, 29) (dual of [6734, 6656, 30]-code), using (u, u+v)-construction based on
- linear OA(8121, 172, F81, 14) (dual of [172, 151, 15]-code), using
- extended algebraic-geometric code AGe(F,157P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- 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]
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(8178, 3367, F81, 2, 29) (dual of [(3367, 2), 6656, 30]-NRT-code) | [i] | OOA Folding |