Information on Result #2958074
Linear OOA(2254, 36, F2, 7, 225), using 1 step truncation based on linear OOA(2255, 37, F2, 7, 226) (dual of [(37, 7), 4, 227]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(224, 4, F2, 7, 23) (dual of [(4, 7), 4, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(224, 5, F2, 7, 23) (dual of [(5, 7), 11, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,11P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(224, 5, F2, 7, 23) (dual of [(5, 7), 11, 24]-NRT-code), using
- linear OOA(2227, 33, F2, 7, 202) (dual of [(33, 7), 4, 203]-NRT-code), using
- strength reduction [i] based on linear OOA(2227, 33, F2, 7, 203) (dual of [(33, 7), 4, 204]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(231, 5, F2, 7, 30) (dual of [(5, 7), 4, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5 (see above)
- linear OOA(2192, 28, F2, 7, 172) (dual of [(28, 7), 4, 173]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(231, 5, F2, 7, 30) (dual of [(5, 7), 4, 31]-NRT-code) (see above)
- linear OOA(2157, 23, F2, 7, 141) (dual of [(23, 7), 4, 142]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(231, 5, F2, 7, 30) (dual of [(5, 7), 4, 31]-NRT-code) (see above)
- linear OOA(2122, 18, F2, 7, 110) (dual of [(18, 7), 4, 111]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(238, 6, F2, 7, 36) (dual of [(6, 7), 4, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,5P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- repeating each code word 3 times [i] based on linear OOA(238, 6, F2, 7, 36) (dual of [(6, 7), 4, 37]-NRT-code), using
- juxtaposition [i] based on
- juxtaposition [i] based on
- linear OOA(231, 5, F2, 7, 30) (dual of [(5, 7), 4, 31]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(2227, 33, F2, 7, 203) (dual of [(33, 7), 4, 204]-NRT-code), using
- linear OOA(224, 4, F2, 7, 23) (dual of [(4, 7), 4, 24]-NRT-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.