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<p>We introduce a symplectic inner product on vectors over a non-unitary non commutative ring of order 4. Linear and additive codes over that ring are explored from the standpoint of self-duality and complementarity with their duals.</p>

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Symplectic ACD codes over a non-commutative non-unitary ring

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月25日

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  • Sarra Manseri,
  • Patrick Solé

摘要

We introduce a symplectic inner product on vectors over a non-unitary non commutative ring of order 4. Linear and additive codes over that ring are explored from the standpoint of self-duality and complementarity with their duals.