The Geometry of Two-weight Codes

  title={The Geometry of Two-weight Codes},
  author={R. Calderbank and William M. Kantor},
We survey the relationships between two-weight linear [n, k] codes over GF(q), projective (n, k, /»„ /»,) sets in PG(£— \,q), and certain strongly regular graphs. We also describe and tabulate essentially all the known examples. 
Highly Influential
This paper has highly influenced 29 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.
Showing 1-10 of 162 extracted citations


Publications referenced by this paper.
Showing 1-10 of 47 references

LINT, 'On the partial geometry pg (6

  • P. J. CAMERON, J. H. VAN
  • Comb. Theory (A)
  • 1982
Highly Influential
5 Excerpts

SCHRIJVER, 'Construction of strongly regular graphs, two-weight codes and partial geometries by finite fields

  • 1981
Highly Influential
6 Excerpts

MACWILLIAMS, 'A theorem on the distribution of weights in a systematic code

  • F J.
  • Bell System Tech. J
  • 1963
Highly Influential
4 Excerpts

MACWILLIAMS, 'Combinatorial problems of elementary group theory

  • F J.
  • Thesis, Department of Math., Harvard University,
  • 1962
Highly Influential
4 Excerpts

On the generalized Ramanujan-Nagell equation I

  • Acta Arith
  • 1981
Highly Influential
2 Excerpts

HIRSCHFELD, 'Applications of line geometry over finite fields II. The hermitian surface

  • J.W.P.A.A. BRUEN
  • Geom. Dedicata
  • 1978
Highly Influential
4 Excerpts

KANTOR, 'Symplectic groups, symmetric designs, and line ovals

  • W M.
  • J. Algebra
  • 1975
Highly Influential
3 Excerpts

On the largest size cap in S

  • R. HILL
  • Rend. Accad. Naz. Lincei (8)
  • 1973
Highly Influential
5 Excerpts

GOETHALS, 'Irreducible binary cyclic codes of even dimension', Combinatorial mathematics and its applications

  • Proc. Second Chapel Hill Conference (Univ. of N…
  • 1970
Highly Influential
5 Excerpts

(fc,/i)-archi di un piano grafico finito, con particolare riguardo a quelli con due caratteri

  • Note I, II', Atti Accad. Naz. Lincei Mem. Cl. Sci…
  • 1966
Highly Influential
3 Excerpts

Similar Papers

Loading similar papers…