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

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

2009-12-22

arxiv.org/abs/0912.4461v1

Mathematics

Combinatorics

5 pages

Scientific paper

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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