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arxiv: 0912.4461 · v1 · submitted 2009-12-22 · 🧮 math.CO

The Spectrum of Quantum Caps in PG(4,4)

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keywords quantumcapsexistencecodeslinearspectrumcompletesimplies
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We prove the non existence of quantum caps of sizes 37 and 39. This completes the spectrum of quantum caps in PG(4, 4). This also implies the non existence of linear [[37,27,4]] and [[39,29,4]]-codes. The problem of the existence of non linear quantum codes with such parameters remains still open.

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