Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A. Quantum error correction via codes over \(\mathrm{GF}(4)\). (English) Zbl 0982.94029 IEEE Trans. Inf. Theory 44, No. 4, 1369-1387 (1998). Cited in 16 ReviewsCited in 540 Documents MSC: 94B60 Other types of codes 81P70 Quantum coding (general) Keywords:quaternary codes; symplectic group; quantum error-correcting codes; additive codes; self-orthogonal Software:CPLEX; Magma; Maple; CONOPT; AMPL × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link Online Encyclopedia of Integer Sequences: Order of real Clifford group L_n connected with Barnes-Wall lattices in dimension 2^n. Order of complex Clifford group of degree 2^n arising in quantum coding theory. Order of a certain Clifford group in dimension 2^n (the automorphism group of the Barnes-Wall lattice for n != 3). Order of automorphism group of Barnes-Wall lattice in dimension 2^n. Highest minimal Hamming distance of any Type 4^H+ Hermitian additive self-dual code over GF(4) of length n. Expansion of Molien series for 8-dimensional real Clifford group 2^{1+6}.Alt_8.2 of genus 3 and order 5160960. Weight distribution of the dodecacode, a [[12,0,6]] quantum-error-correcting code. Number of inequivalent codes attaining highest minimal Hamming distance of any Type (4_II)^H+ even Hermitian additive self-dual code over GF(4) of length 2n.