On Senary Simplex Codes

نویسندگان

  • Manish K. Gupta
  • David G. Glynn
  • T. Aaron Gulliver
چکیده

This paper studies senary simplex codes of type α and two punctured versions of these codes (type β and γ). Self-orthogonality, torsion codes, weight distribution and weight hierarchy properties are studied. We give a new construction of senary codes via their binary and ternary counterparts, and show that type α and β simplex codes can be constructed by this method.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Supporting data for senary refractory high-entropy alloy CrxMoNbTaVW

This data article is related to the research paper entitled "senary refractory high-entropy alloy Cr x MoNbTaVW [1]". In this data article, the pseudo-binary Cr-MoNbTaVW phase diagram is presented to show the impact of Cr content to the senary Cr-MoNbTaVW alloy system; the sub-lattice site fractions are presented to show the disordered property of the Cr-MoNbTaVW BCC structures; the equilibrium...

متن کامل

Ternary and senary representations using DNA double-crossover tiles.

The information capacity of DNA double-crossover (DX) tiles was successfully increased beyond a binary representation to higher base representations. By controlling the length and the position of DNA hairpins on the DX tile, ternary and senary (base-3 and base-6) digit representations were realized and verified by atomic force microscopy. Also, normal mode analysis was carried out to study the ...

متن کامل

Perfect codes in the discrete simplex

We study the problem of existence of (nontrivial) perfect codes in the discrete n-simplex ∆` := {( x0, . . . , xn ) : xi ∈ Z+, ∑ i xi = ` } under `1 metric. The problem is motivated by the so-called multiset codes, which have recently been introduced by the authors as appropriate constructs for error correction in the permutation channels. It is shown that e-perfect codes in the 1-simplex ∆` ex...

متن کامل

Simplex and MacDonald Codes over $R_{q}$

In this paper, we introduce the homogeneous weight and homogeneous Gray map over the ring R q = F 2 [u 1 , u 2 ,. .. , u q ]/ u 2 i = 0, u i u j = u j u i for q ≥ 1. We also consider the construction of simplex and MacDonald codes of types α and β over this ring. Further, we study the properties of these codes such as their binary images and covering radius. 1 Introduction Codes over rings have...

متن کامل

On Linear Codes over Z2s

In an earlier paper the authors studied simplex codes of type α and β over Z4 and obtained some known binary linear and nonlinear codes as Gray images of these codes. In this correspondence, we study weight distributions of simplex codes of type α and β over Z2s . The generalized Gray map is then used to construct binary codes. The linear codes meet the Griesmer bound and a few non-linear codes...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001