Information on Result #909751
Linear OOA(4259, 132, F4, 2, 197) (dual of [(132, 2), 5, 198]-NRT-code), using juxtaposition based on
- linear OOA(421, 13, F4, 2, 18) (dual of [(13, 2), 5, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- linear OOA(4233, 119, F4, 2, 178) (dual of [(119, 2), 5, 179]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4215, 110, F4, 2, 165) (dual of [(110, 2), 5, 166]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4105, 55, F4, 2, 82) (dual of [(55, 2), 5, 83]-NRT-code), using
- 1 step truncation [i] based on linear OOA(4106, 56, F4, 2, 83) (dual of [(56, 2), 6, 84]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(423, 14, F4, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14 (see above)
- linear OOA(427, 14, F4, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- dual of repetition NRT-code with length 14 [i]
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)
- linear OOA(423, 14, F4, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- 1 step truncation [i] based on linear OOA(4106, 56, F4, 2, 83) (dual of [(56, 2), 6, 84]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4105, 55, F4, 2, 82) (dual of [(55, 2), 5, 83]-NRT-code), using
- linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- juxtaposition [i] based on
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.