On the integral ring spanned by genus two weight enumerators

Abstract. It is known that the weight enumerator of a self-dual doublyeven code in genus g = 1 can be uniquely written as an isobaric polynomial in certain homogeneous polynomials with integral coefficients. We settle the case where g = 2 and prove the non-existence of such polynomials under some conditions.

• Type: Journal
• Year: 2008
• Where: DM
• Authors: Manabu Oura
• Keywords: Certain Homogeneous Polynomials, DM 2008, Polynomials, Self-dual Doublyeven Code