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<p>With the gradual maturity of the hardware and programming platform of Ternary optical computer (TOC), TOC gradually enters the practical application stage. Its reliability is becoming a research hotspot. The liquid crystal is used to change the polarization direction in the TOC to realize the three-state conversion of light. So the data is ternary and the classical binary detection/correction schemes are ineffective. In this paper, the ternary Berger code is proposed for ternary code-word of the form m = <i>m</i><sub><i>n</i></sub><i>m</i><sub><i>n−1</i></sub>…<i>m</i><sub>2</sub><i>m</i><sub>1</sub> with symbols <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_94451_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(0,1,\overline{1}\)</EquationSource> </InlineEquation>, and a principle of error detection based on the ternary Berger code is presented for the error schemes x → y, where x&#xa0;≠&#xa0;y and x, y ∈{<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_94451_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(0,1,\overline{1}\)</EquationSource> </InlineEquation>}. Then a photoelectric structure of error detection based on ternary Berger code is designed, which can detect single error for huge-bit data with high efficiency and low cost and lower delay.</p>

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Self-checking principle and design of ternary Berger code

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月22日

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  • Zhang Sulan,
  • Shen Yunfu

摘要

With the gradual maturity of the hardware and programming platform of Ternary optical computer (TOC), TOC gradually enters the practical application stage. Its reliability is becoming a research hotspot. The liquid crystal is used to change the polarization direction in the TOC to realize the three-state conversion of light. So the data is ternary and the classical binary detection/correction schemes are ineffective. In this paper, the ternary Berger code is proposed for ternary code-word of the form m = mnmn−1…m2m1 with symbols \(0,1,\overline{1}\) , and a principle of error detection based on the ternary Berger code is presented for the error schemes x → y, where x ≠ y and x, y ∈{ \(0,1,\overline{1}\) }. Then a photoelectric structure of error detection based on ternary Berger code is designed, which can detect single error for huge-bit data with high efficiency and low cost and lower delay.