Regular Representations of Codes and Duality
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概要
- 論文の詳細を見る
Let K⁄F be finite fields with [K:F]=m. Let {u 1,…,um } be a basis of this extension. By the regular representation with this basis, every element of K corresponds to an m×m matrix over F. Applying this representation, every linear code over K induces a linear code over F. Another code may be induced by another basis. We study the condition of the basis which preserves duality, and also we show the existence of such a basis for any extension.
- 東北大学の論文
著者
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Uchida Koji
Graduate School Of Bioagricultural Sciences Nagoya University
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Uchida Koji
Graduate School Of Information Sciences Tohoku University
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