Information on Result #1054548
Linear OOA(2151, 79, F2, 4, 40) (dual of [(79, 4), 165, 41]-NRT-code), using OOA 2-folding based on linear OOA(2151, 158, F2, 2, 40) (dual of [(158, 2), 165, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2151, 159, F2, 2, 40) (dual of [(159, 2), 167, 41]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2152, 160, F2, 2, 41) (dual of [(160, 2), 168, 42]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1622, 32, F16, 2, 20) (dual of [(32, 2), 42, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1622, 33, F16, 2, 20) (dual of [(33, 2), 44, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,45P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1622, 33, F16, 2, 20) (dual of [(33, 2), 44, 21]-NRT-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(1622, 32, F16, 2, 20) (dual of [(32, 2), 42, 21]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- 1 step truncation [i] based on linear OOA(2152, 160, F2, 2, 41) (dual of [(160, 2), 168, 42]-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.