Information on Result #1014670
Linear OOA(8124, 2796225, F8, 3, 17) (dual of [(2796225, 3), 8388551, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(811, 24, F8, 3, 8) (dual of [(24, 3), 61, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,63P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,63P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(8113, 2796201, F8, 3, 17) (dual of [(2796201, 3), 8388490, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-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
None.