Information on Result #1014570
Linear OOA(8125, 5592427, F8, 3, 15) (dual of [(5592427, 3), 16777156, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(811, 25, F8, 3, 7) (dual of [(25, 3), 64, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,67P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(8114, 5592402, F8, 3, 15) (dual of [(5592402, 3), 16777092, 16]-NRT-code), using
- trace code [i] based on linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- trace code [i] based on linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-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.