The complete weight enumerator of Type II codes over Z/sub 2m/ and Jacobi forms

2001 ◽  
Vol 47 (1) ◽  
pp. 396-399 ◽  
Author(s):  
Young Ju Choie ◽  
Namshik Kim
2015 ◽  
Vol 14 (06) ◽  
pp. 1550080
Author(s):  
Anuradha Sharma ◽  
Amit K. Sharma

For a positive integer m, let R be either the ring ℤ2m of integers modulo 2m or the quaternionic ring Σ2m = ℤ2m + αℤ2m + βℤ2m + γℤ2m with α = 1 + î, β = 1 + ĵ and [Formula: see text], where [Formula: see text] are elements of the ring ℍ of real quaternions satisfying [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. In this paper, we obtain Jacobi forms (or Siegel modular forms) of genus r from byte weight enumerators (or symmetrized byte weight enumerators) in genus r of Type I and Type II codes over R. Furthermore, we derive a functional equation for partial Epstein zeta functions, which are summands of classical Epstein zeta functions associated with quadratic forms.


2017 ◽  
Vol 10 (03) ◽  
pp. 1750055 ◽  
Author(s):  
Ankur

We take a Galois ring [Formula: see text] and discuss about the self-dual codes and its properties over the ring. We will also describe the relationship between Clifford-Weil group and Jacobi forms by constructing the invariant polynomial ring with the complete weight enumerator.


Author(s):  
Koichi Betsumiya ◽  
Masaaki Harada ◽  
Akihiro Munemasa
Keyword(s):  
Type Ii ◽  

1997 ◽  
Vol 43 (3) ◽  
pp. 969-976 ◽  
Author(s):  
A. Bonnecaze ◽  
P. Sole ◽  
C. Bachoc ◽  
B. Mourrain
Keyword(s):  
Type Ii ◽  

2009 ◽  
Vol 05 (04) ◽  
pp. 635-640 ◽  
Author(s):  
MANABU OURA

The Eisenstein polynomial is the weighted sum of the weight enumerators of all classes of Type II codes of fixed length. In this note, we investigate the ring generated by Eisenstein polynomials in genus 2.


Sign in / Sign up

Export Citation Format

Share Document