Isometry classes of codes

Harald Fripertinger

• Codierungstheorie: Konstruktion und Anwendung linearer Codes, Springer, Berlin, Heidelberg, New York, 1998. ISBN 3-540-64502-0.
• Isometry Classes of Indecomposable Linear Codes
• Random generation of linear codes
• Zyklenzeiger linearer Gruppen und Abzählung linearer Codes
• Enumeration of isometry classes of linear (n,k)-codes over GF(q) in SYMMETRICA
• Enumeration, construction and random generation of block codes
• Enumeration of Linear Codes by Applying Methods from Algebraic Combinatorics
• Cycle indices of linear, affine and projective groups
• Enumeration of the Semilinear Isometry Classes of Linear Codes
• The number of invariant subspaces under a linear operator on finite vector spaces
• Further tables:
  • Numbers of isomorphism classes of binary and regular (connected) matroids
  • Numbers of monomially non-isometric subspaces

• Preliminaries: Methods, Notation
• Tables for binary codes
• Generator matrices of distance optimal binary codes
• Tables for ternary codes
• Tables for codes over GF(4)
• Tables for codes over GF(5)
• Generating functions for S_nk2
• Generating functions for S_nk2
• Generating functions for S_nk3
• Generating functions for S_nk4
• Generating functions for S_nk5
• Generating functions for S_nk7
• Numbers of isometry classes of block codes