A partially ordered set and q-Krawtchouk polynomials
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Publication:1172641
DOI10.1016/0097-3165(81)90023-6zbMath0502.05013OpenAlexW1998560969MaRDI QIDQ1172641
Publication date: 1981
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0097-3165(81)90023-6
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other designs, configurations (05B30) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (21)
Design theory from the viewpoint of algebraic combinatorics ⋮ \(q\)-rotations and Krawtchouk polynomials ⋮ Hermitian rank distance codes ⋮ t-designs in classical association schemes ⋮ Constant rank-distance sets of Hermitian matrices and partial spreads in Hermitian polar spaces ⋮ Cross-intersecting Erdős-Ko-Rado sets in finite classical polar spaces ⋮ Symmetric bilinear forms over finite fields with applications to coding theory ⋮ Designs as maximum codes in polynomial metric spaces ⋮ Kravchuk polynomials and group representations ⋮ A new upper bound for constant distance codes of generators on Hermitian polar spaces of type \(H(2d - 1, q^{2})\) ⋮ Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs ⋮ Zeros of generalized Krawtchouk polynomials ⋮ The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters ⋮ On maximum additive Hermitian rank-metric codes ⋮ Quadratic and symmetric bilinear forms over finite fields and their association schemes ⋮ Bouquets of geometric lattices: Some algebraic and topological aspects ⋮ Mehler-Heine type formulas for the Krawtchouk polynomials ⋮ Harmonics on posets ⋮ The least Euclidean distortion constant of a distance-regular graph ⋮ On the eigenvalues of Grassmann graphs, bilinear forms graphs and Hermitian forms graphs ⋮ On geometric semilattices
Cites Work
- Exponential sums for skew matrices in a finite field
- Association schemes of quadratic forms
- Association schemes and t-designs in regular semilattices
- Alternating bilinear forms over GF(q)
- An addition theorem for some q-Hahn polynomials
- Bilinear forms over a finite field, with applications to coding theory
- Representation by quadratic forms in a finite field
- Some q-Krawtchouk Polynomials on Chevalley Groups
- Applications of Basic Hypergeometric Functions
- Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$
- Hahn Polynomials, Discrete Harmonics, andt-Designs
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