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<p>Separable codes were introduced to protect copyrighted multimedia contents under the averaging collusion attack. In this paper, we first derive an equivalent condition of a <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\bar{3}\)</EquationSource> </InlineEquation>-SC with length 4. Then, based on the above condition, we construct an infinite class of <i>q</i>-ary <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\bar{3}\)</EquationSource> </InlineEquation>-SCs with length 4. Finally, we show that such a class of SCs is ordered optimal.</p>

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Constructions of \(\bar{3}\)-separable codes with length 4

  • 期刊论文

  • 发表日期：

    2026年2月28日

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  • Caihong Zhao,
  • Jing Jiang

摘要

Separable codes were introduced to protect copyrighted multimedia contents under the averaging collusion attack. In this paper, we first derive an equivalent condition of a \(\bar{3}\) -SC with length 4. Then, based on the above condition, we construct an infinite class of q-ary \(\bar{3}\) -SCs with length 4. Finally, we show that such a class of SCs is ordered optimal.