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A003956 Order of complex Clifford group of degree 2^n arising in quantum coding theory. 13
8, 192, 92160, 743178240, 97029351014400, 203286581427673497600, 6819500449352277792129024000, 3660967964237442812098963052691456000, 31446995505814020383166371418359014222725120000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

B. Runge, Codes and Siegel modular forms, Discrete Math. 148 (1996), 175-204.

LINKS

T. D. Noe, Table of n, a(n) for n=0..20

A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane, Quantum error correction via codes over GF(4), IEEE Trans. Inform. Theory, 44 (1998), 1369-1387.

G. Nebe, E. M. Rains and N. J. A. Sloane, The invariants of the Clifford groups, Des. Codes Crypt. 24 (2001), 99-121.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

MAPLE

2^(n^2+2*n+3)*product( 4^j-1, j=1..n);

CROSSREFS

Cf. A014116, A014115, A001309, A027672. Equals twice A027638.

Sequence in context: A003435 A071303 A128406 * A204820 A041269 A172340

Adjacent sequences:  A003953 A003954 A003955 * A003957 A003958 A003959

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane, Peter Shor

STATUS

approved

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Last modified April 21 01:47 EDT 2014. Contains 240824 sequences.