On the generalized weights of a class of trace codes
Cherdieu, Jean-Pierre ; Mercier, Dany-Jack ; Narayaninsamy, T.
HAL, hal-00771922 / Harvested from HAL
Text on HAL
We build a class of codes using hermitian forms and the functional trace code. Then we give a general expression of the r-th minimum distance of our code and compute general bounds for the weight hierarchy by using exponential sums. We also get the minimum distance and calculate the r-th generalized Hamming weight dr in some special cases.
Publié le : 2001-07-05
Classification:  [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT],  [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT] 
@article{hal-00771922,
     author = {Cherdieu, Jean-Pierre and Mercier, Dany-Jack and Narayaninsamy, T.},
     title = {On the generalized weights of a class of trace codes},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00771922}
}

Cherdieu, Jean-Pierre; Mercier, Dany-Jack; Narayaninsamy, T. On the generalized weights of a class of trace codes. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00771922/