Information on Result #903624
Linear OOA(6447, 4194381, F64, 2, 11) (dual of [(4194381, 2), 8388715, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(646, 80, F64, 2, 5) (dual of [(80, 2), 154, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,154P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6441, 4194301, F64, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-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.