Information on Result #1082774
Linear OOA(8181, 132978, F81, 4, 23) (dual of [(132978, 4), 531831, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8113, 116, F81, 4, 11) (dual of [(116, 4), 451, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,452P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8168, 132862, F81, 4, 23) (dual of [(132862, 4), 531380, 24]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8168, 531448, F81, 23) (dual of [531448, 531380, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8168, 531449, F81, 23) (dual of [531449, 531381, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(8167, 531442, F81, 23) (dual of [531442, 531375, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(8161, 531442, F81, 21) (dual of [531442, 531381, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,11]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8168, 531449, F81, 23) (dual of [531449, 531381, 24]-code), using
- OOA 4-folding [i] based on linear OA(8168, 531448, F81, 23) (dual of [531448, 531380, 24]-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.