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- Michael I. Boguslavsky
- Discrete Applied Mathematics
- 2001

We use some basic results and ideas from the integral geometry to study certain properties of group codes. The properties being studied are generalized weights and spectra of linear block codes over a finite field and their analogues for lattice sphere packings in Euclidean space. We do not obtain any new results about linear codes, although several short… (More)

- M. I. Boguslavsky, UDC
- 2002

Generalized Hamming weights (or the weight hierarchy) were first introduced in [1]. The generalized weights of a linear [n, k, d]q code are a monotonic ordered set of k integers d1 = d < d2 < . . . < dk−1 < dk = n. The first weight d1 is equal to the minimum distance, and the last weight dk is equal to the length of the code. Generalized weights describe… (More)

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