Title :
The complete weight enumerator of Type II codes over Z2m and Jacobi forms
Author :
Choie, YoungJu ; Kim, Namshik
Author_Institution :
Dept. of Math., Pohang Inst. of Sci. & Technol., South Korea
fDate :
1/1/2001 12:00:00 AM
Abstract :
In this correspondence, we construct theta series that are Jacobi forms, from the complete enumerator of Type II codes over Z2m. Moreover, we construct a map from a certain invariant space to the space of Jacobi forms on the full modular group
Keywords :
algebraic codes; dual codes; group codes; linear codes; Abelian groups; Jacobi forms; Type II codes; algebraic coding; complete weight enumerator; full modular group; invariant space; linear code; self-dual codes; theta series; Binary codes; Block codes; Error correction codes; Jacobian matrices; Notice of Violation; Quantum computing; Quantum mechanics;
Journal_Title :
Information Theory, IEEE Transactions on
