New techniques for the computation of linear recurrence coefficients
From MaRDI portal
Publication:1971066
DOI10.1006/ffta.1999.0267zbMath0978.65130OpenAlexW2043768406MaRDI QIDQ1971066
Publication date: 21 January 2002
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/ffta.1999.0267
power sumsBerlekamp-Massey linear recurrence problemsparse matrices over finite fieldssparse multivariate polynomial interpolation
Number-theoretic algorithms; complexity (11Y16) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Complexity and performance of numerical algorithms (65Y20)
Related Items
Algebraic diagonals and walks: algorithms, bounds, complexity, Deterministic root finding over finite fields using Graeffe transforms, A LINEAR COMPLEXITY ANALYSIS OF QUADRATIC RESIDUES AND PRIMITIVE ROOTS SPACINGS, Fast computation of special resultants, The Berlekamp-Massey algorithm revisited, On Elkies subgroups of \(\ell\)-torsion points in elliptic curves defined over a finite field, Block diagonalization and LU-equivalence of Hankel matrices, Symbolic and numeric methods for exploiting structure in constructing resultant matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On fast multiplication of polynomials over arbitrary algebras
- A probabilistic remark on algebraic program testing
- Parallel computation of polynomial GCD and some related parallel computations over abstract fields
- Representations and Parallel Computations for Rational Functions
- Solving sparse linear equations over finite fields
- Fast Probabilistic Algorithms for Verification of Polynomial Identities
- Fast solution of toeplitz systems of equations and computation of Padé approximants
- A method for solving key equation for decoding goppa codes
- Continued Fractions and Linear Recurrences
- The algebraic decoding of Goppa codes
- Fast computation of GCDs
- Minimal torsion spaces and the partial input/output problem
- A method for decoding of generalized Goppa codes (Corresp.)
- On the complexity of decoding Goppa codes (Corresp.)
- Fast parallel computation of characteristic polynomials by Leverrier's power sum method adapted to fields of finite characteristic
- Analysis of Coppersmith's Block Wiedemann Algorithm for the Parallel Solution of Sparse Linear Systems
- Shift-register synthesis and BCH decoding
- The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis