Determinants and ranks of random matrices over \({\mathbb{Z}}_ m\)
From MaRDI portal
Publication:1092979
DOI10.1016/0012-365X(87)90117-8zbMath0628.15010OpenAlexW1978047030WikidataQ56939183 ScholiaQ56939183MaRDI QIDQ1092979
Brendan D. McKay, Richard P. Brent
Publication date: 1987
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0012-365x(87)90117-8
Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Random matrices (algebraic aspects) (15B52) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items
The distribution of sandpile groups of random graphs, Determinants of matrices over commutative finite principal ideal rings, On the distribution of equivalence classes of random symmetric p‐adic matrices, Cryptanalysis of a round optimal lattice-based multisignature scheme, Candidate trapdoor claw-free functions from group actions with applications to quantum protocols, Joint distribution for the Selmer ranks of the congruent number curves, Degeneration of structured integer matrices modulo an integer, A probabilistic interpretation of the Gaussian binomial coefficients, Indistinguishability obfuscation without maps: attacks and fixes for noisy linear FE, Common factors in fraction-free matrix decompositions, The determinant of random power series matrices over finite fields, Some new results in random matrices over finite fields, Elementary divisors and determinants of random matrices over a local field.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the probability that the determinant of an n\(\times n\) matrix over a finite field vanishes
- Applications of Basic Hypergeometric Functions
- On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
- On the Transformation Theory of Basic Hypergeometric Functions
