Generalized polygonal designs with block size 3 and

Iqbal, Ijaz; Tahir, M. H.; Akhtar, Muhammad; Ghazali, Syed Shakir Ali; Shabbir, Javid; Bukhari, Neelam

doi:10.1016/j.jspi.2009.02.018

Cited by 9 publications

(7 citation statements)

References 22 publications

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“…Two-dimensional BSAs were studied in [14,27]. For more related results, please see [3,6,7,11,12,23,28,29].…”

Section: Preliminarymentioning

confidence: 99%

New optimal error-correcting codes for crosstalk avoidance in on-chip data buses

Ajmal¹,

Zhang²

2021

AMC

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Codes that simultaneously provide for low power dissipation, crosstalk avoidance, and error correction in the ultra deep submicron/nanometer VLSI fabrication, were recently introduced by Chee et al. in 2015. Such codes were revealed to be closely related to balanced sampling plans avoiding adjacent units, which are widely used in the statistical design of experiments. In this paper, we construct a new family of optimal codes with such properties, by determining the maximum size of packing sampling plans avoiding certain units.

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“…Two-dimensional BSAs were studied in [14,27]. For more related results, please see [3,6,7,11,12,23,28,29].…”

Section: Preliminarymentioning

confidence: 99%

New optimal error-correcting codes for crosstalk avoidance in on-chip data buses

Ajmal¹,

Zhang²

2021

AMC

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“…To find how the concurrence matrix, N N , can be developed from the set(s) of shifts, the readers may refer to Iqbal and Tahir [21] and Iqbal et al [22] .…”

Section: Example 42mentioning

confidence: 99%

“…We refer to this cyclical development as the method of cyclic shifts or sets of shifts, which is also used by Iqbal and Tahir [20,21] and Iqbal et al [22] . This article is organized as follows: The model for CNBDs is given in Section 2.…”

Section: Introductionmentioning

confidence: 99%

Circular neighbor-balanced designs using cyclic shifts

Iqbal

Tahir

Ghazali

2009

Sci. China Ser. A-Math.

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In agriculture experiments, the response on a given plot may be affected by the treatments on neighboring plots as well as by the treatments applied to that plot. In this paper we consider such type of situations and construct circular neighbor-balanced designs (CNBDs) by the method of cyclic shifts or sets of shifts. An important feature of this method is that the properties of a design can be easily obtained from the sets of shifts instead of constructing the actual blocks of the design. That is, the off-diagonal elements of the concurrence matrix can be easily obtained from the sets of shifts. Since the suggested designs are circular, balanced and binary, so they are universally optimal.

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“…Further, the off-diagonal elements in a concurrence matrix can easily be obtained from the sets of shifts or from concurrence set(s) of shifts. For more detail see Iqbal et al (2009) and Tahir et al (2010).…”

Section: Introductionmentioning

confidence: 99%

Cyclic Polygonal Designs with Block Size 3 and Joint Distance α = 2

Tahir

Iqbal

Aggarwal

2011

Communications in Statistics - Theory and Methods

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Generalized polygonal designs with block size 3 and

Cited by 9 publications

References 22 publications

New optimal error-correcting codes for crosstalk avoidance in on-chip data buses

New optimal error-correcting codes for crosstalk avoidance in on-chip data buses

Circular neighbor-balanced designs using cyclic shifts

Cyclic Polygonal Designs with Block Size 3 and Joint Distance α = 2

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