Abstract
A mininorm on a vector space X over the field or is a function w from X to satisfying the properties of a norm || || with the property ||αx|| = |α| ||x||, α ∈ , x ∈ X replaced by the following property: ||αx|| = ||x|| for all x ∈ X, . There are several mininorms on the Euclidean spaces k . One such mini- norm is the Hamming weight function. In this paper, we discuss certain basic properties of Euclidean spaces with the Hamming mininorm and also some structural properties of these spaces. Mathematic Subject Calssification 2010: 46B99, 46A19
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