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A finite field is a field with a finite number of elements. For each prime power $q^k$, there is a unique (up to isomorphism) finite field with $q^k$ elements. Up to isomorphism, these are the only finite fields.

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Does the Plotkin bound mean that one can not achieve the Singleton bound asymptotically?

I am a little confused with the relationship between various bounds for error correcting codes. Does the Plotkin bound mean that one can not achieve the Singleton bound asymptotically? That is, is th …
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