0,2

D. Slepian, On the number of symmetry types of Boolean functions of n variables. Canadian J. Math. 5, (1953). 185-193.

D. Slepian, A class of binary signaling alphabets. Bell System Tech. J. 35 (1956), 203-234.

D. Slepian, Some further theory of group codes. Bell System Tech. J. 39 1960 1219-1252. (Row sums of Table II.)

M. Wild, Enumeration of binary and ternary matroids and other applications of the Brylawski-Lucas Theorem, Preprint Nr. 1693, Tech. Hochschule Darmstadt, 1994

M. Wild, Consequences of the Brylawski-Lucas Theorem for binary matroids, European Journal of Combinatorics 17 (1996) 309-316.

M. Wild, The asymptotic number of inequivalent binary codes and nonisomorphic binary matroids, Finite Fields and their Applications 6 (2000) 192-202.

H. Fripertinger, Isometry Classes of Codes

James Oxley, What is a Matroid?.

Gordon Royle and Dillon Mayhew, 9-element matroids

Index entries for sequences related to binary linear codes

a(2)=4 because there are four inequivalent linear binary 2-codes: {(0,0)}, {(0,0),(1,0)}, {(0,0),(1,1)}, {(0,0),(1,0),(0,1),(1,1)}. Observe that the codes {(0,0),(1,0)} and {(0,0),(0,1)} are equivalent because one arises from the other by a permutation of coordinates.

Row sums of triangle A076831. Cf. A034328, A055545.

Sequence in context: A049142 A100138 A100139 this_sequence A035523 A078227 A138814

Adjacent sequences: A076763 A076764 A076765 this_sequence A076767 A076768 A076769

nice,nonn

Marcel Wild (mwild(AT)sun.ac.za), Nov 14 2002

Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 01 2007, at the suggestion of Gordon Royle.