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A note on matrix rigidity. (English) Zbl 0848.15005
A matrix is said to be rigid if any change in each of \(k\) rows decreases the rank by no more than \(k\) units. Generalizations of this notion are given. They apply especially when the underlying field \({\mathbf F}\) is finite. The appropriate context is the theory of algebraic codes.

MSC:
15A03 Vector spaces, linear dependence, rank, lineability
11T71 Algebraic coding theory; cryptography (number-theoretic aspects)
15B33 Matrices over special rings (quaternions, finite fields, etc.)
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