The q-ary intersecting for (a; a + b) construction code

Downloads

Abstract

In this paper, we study the pairs of q-ary linear intersecting codes Ci(ni;ki;di); i = 1;2, with the property that
for any two non-zero codes have the intersecting supports. Some codes with high distances are shown to be
intersecting.

Keywords:

Intersecting codes, Self- complementary codes, Dual codes, Linearly independent codes

Mathematics Subject Classification:

Mathematics
  • Pages: 399-401
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

Ashikhmin A., Barg A., Minimal vectors in linear codes, IEEE Trans. Inform. Theory, 44(5)(1998), 2010-2017.

Blake I.F., Codes over integer residue rings, Information and Control, 29(1975), 295-300.

Cohen G., Lempel A., Linear intersecting codes, Discrete Math., 56(1985), 35-43.

Cohen G., Zemor G., Intersecting codes and independent Families,IEEE Trans. Inform. Theory, 40(6), 1872-1881.

Cohen G., Encheva S., Schaathun H.G., On separating codes, Technical reports in informatics, the Centre National de la RechercheScientifique and Telecom Paris, Departement INF, 2001.

Cohen G., Encheva S., Schaathun H.G., More on (2; 2)-separating systems, IEEE Trans. Inform. Theory, $48(9)(2001), 2606-2609$.

Cohen G., Encheva S., Litsyn S., Schaathun H.G., Intersecting codes and separating codes, Discrete Applied Mathematics, 128(75)(2003), 75-83.

Encheva S., Cohen Gerard D., Constructions of intersecting Codes, IEEE Trans.Inform. Theory, 45(4)(1999).

Macwilliams F.J and Slone N.J.A., The theory of error correcting codes, North-Holland, New york, 1977.

Miklos D., Linear binary codes with intersection properties, Discrete Appl. Math., 9(2)(1984), 187-196.

Sloane N.J.A., Covering arrays and intersecting codes, J. Combinator. Designs, Vol. 1(1993), 51-63.

Metrics

Metrics Loading ...

Published

01-01-2021

How to Cite

B. Rega, and C. Durairajan. “The Q-Ary Intersecting for (a; A + B) Construction Code”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 399-01, https://www.malayajournal.org/index.php/mjm/article/view/1048.