Information on Result #1068952
Linear OOA(8160, 132920, F81, 4, 17) (dual of [(132920, 4), 531620, 18]-NRT-code), using OOA 2-folding based on linear OOA(8160, 265840, F81, 2, 17) (dual of [(265840, 2), 531620, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8110, 116, F81, 2, 8) (dual of [(116, 2), 222, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,223P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8150, 265724, F81, 2, 17) (dual of [(265724, 2), 531398, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8150, 531448, F81, 17) (dual of [531448, 531398, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8150, 531449, F81, 17) (dual of [531449, 531399, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(8149, 531442, F81, 17) (dual of [531442, 531393, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(8143, 531442, F81, 15) (dual of [531442, 531399, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8150, 531449, F81, 17) (dual of [531449, 531399, 18]-code), using
- OOA 2-folding [i] based on linear OA(8150, 531448, F81, 17) (dual of [531448, 531398, 18]-code), using
- linear OOA(8110, 116, F81, 2, 8) (dual of [(116, 2), 222, 9]-NRT-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
None.