On the weights of irreducible cyclic codes WWC
On the weights of irreducible cyclic codes WWC’ 05 (Bergen) Yves Aubry and Philippe Langevin GRIM Université du Sud Toulon-Var, France. 12/22/2021 1
WCC’ 05 Bergen On the weights of irreducible cyclic codes Notations
WCC’ 05 Bergen On the weights of irreducible cyclic codes Irreducible cyclic codes
WCC’ 05 Bergen On the weights of irreducible cyclic codes Weight of codewords
WCC’ 05 Bergen On the weights of irreducible cyclic codes Gauss sums
WCC’ 05 Bergen On the weights of irreducible cyclic codes Mc. Eliece weight formula
WCC’ 05 Bergen On the weights of irreducible cyclic codes Mc. Eliece weight formula
WCC’ 05 Bergen On the weights of irreducible cyclic codes About the distribution of the weights
WCC’ 05 Bergen On the weights of irreducible cyclic codes Stickelberger
WCC’ 05 Bergen On the weights of irreducible cyclic codes Delsarte-Mc. Eliece theorem
WCC’ 05 Bergen On the weights of irreducible cyclic codes p-adic expansion
WCC’ 05 Bergen On the weights of irreducible cyclic codes The function f 0
WCC’ 05 Bergen On the weights of irreducible cyclic codes for the next slide p=2
WCC’ 05 Bergen On the weights of irreducible cyclic codes The function f 1
WCC’ 05 Bergen On the weights of irreducible cyclic codes About the number of weights
WCC’ 05 Bergen On the weights of irreducible cyclic codes Cyclotomy
WCC’ 05 Bergen On the weights of irreducible cyclic codes Two-weight cyclic codes
WCC’ 05 Bergen On the weights of irreducible cyclic codes Non semiprimitive code having only two weights
WCC’ 05 Bergen On the weights of irreducible cyclic codes Three-cyclotomic-class case particular case of semiprimitivity
WCC’ 05 Bergen On the weights of irreducible cyclic codes How many are they ?
WCC’ 05 Bergen On the weights of irreducible cyclic codes Number of different weights
WCC’ 05 Bergen On the weights of irreducible cyclic codes Link with the two-weight conjecture
WCC’ 05 Bergen On the weights of irreducible cyclic codes Takk !
WCC’ 05 Bergen On the weights of irreducible cyclic codes Proof ( binary ) 3 -cyclotomic case
WCC’ 05 Bergen On the weights of irreducible cyclic codes GRH
- Slides: 25