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Null Space of Parity Check Matrix

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#linear-algebra #finite-fields #coding-theory
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Primitive polynomial vs irreducible polynomial for construction field $GF(2)[x]/\langle p(x)\rangle$

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#finite-fields #irreducible-polynomials #coding-theory
694
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linear independence in GF(3)

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#finite-fields
189
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How to apply index calculus methods to Silver-Pohlig-Hellman algorithm (discrete log for composite order)

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#finite-fields #discrete-logarithms
977
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Finite fields: Compute the inverse of a matrix

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#matrices #galois-theory #finite-fields #inverse
123
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counting solutions of system of linear equations

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#linear-algebra #combinatorics #finite-fields
443
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Does Sylvester Rank Inequality holds for a matrix over finite field?

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#linear-algebra #matrices #finite-fields #matrix-rank
171
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Roots of an equation over the finite field $\operatorname{GF}(p^q)$

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#linear-algebra #roots #finite-fields
87
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Finding matrix for mapping members of isomorphism finite fields

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#finite-fields
243
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Automorphism Groups of Finite Fields

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#finite-fields #automorphism-group
1k
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Irreducible polynomial of degree $2$ over a finite field of characteristic $2$

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#abstract-algebra #field-theory #finite-fields #irreducible-polynomials
76
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Clarifications for McEliece's algorithm for factoring polynomials over finite fields

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#polynomials #finite-fields #factoring
111
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Does there exists an irreducible polynomial of a given form?

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#polynomials #finite-fields
173
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Circulant Orthogonal $\operatorname{MDS}$ Matrix

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#linear-algebra #determinant #finite-fields #orthogonal-matrices #circulant-matrices
272
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Evaluated polynomials over finite rings

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#abstract-algebra #polynomials #ring-theory #finite-fields

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