Information on Result #1198366
Digital (61, 84, 1796)-net over F27, using net defined by OOA based on linear OOA(2784, 1796, F27, 23, 23) (dual of [(1796, 23), 41224, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2784, 19757, F27, 23) (dual of [19757, 19673, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2784, 19760, F27, 23) (dual of [19760, 19676, 24]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2717, 76, F27, 11) (dual of [76, 59, 12]-code), using
- extended algebraic-geometric code AGe(F,64P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- linear OA(2767, 19684, F27, 23) (dual of [19684, 19617, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2717, 76, F27, 11) (dual of [76, 59, 12]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2784, 19760, F27, 23) (dual of [19760, 19676, 24]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.