Information on Result #919319
Linear OOA(499, 61, F4, 2, 60) (dual of [(61, 2), 23, 61]-NRT-code), using construction X applied to AG(2;F,49P) ⊂ AG(2;F,55P) based on
- linear OOA(493, 55, F4, 2, 60) (dual of [(55, 2), 17, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,49P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(487, 55, F4, 2, 54) (dual of [(55, 2), 23, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,55P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(46, 6, F4, 2, 5) (dual of [(6, 2), 6, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- OOA 2-folding [i] based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-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.