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significant simplification
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Fe-r-oz committed Oct 10, 2024
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1 change: 0 additions & 1 deletion docs/Project.toml
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Expand Up @@ -9,7 +9,6 @@ Hecke = "3e1990a7-5d81-5526-99ce-9ba3ff248f21"
LDPCDecoders = "3c486d74-64b9-4c60-8b1a-13a564e77efb"
Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
Oscar = "f1435218-dba5-11e9-1e4d-f1a5fab5fc13"
PyQDecoders = "17f5de1a-9b79-4409-a58d-4d45812840f7"
Quantikz = "b0d11df0-eea3-4d79-b4a5-421488cbf74b"
QuantumClifford = "0525e862-1e90-11e9-3e4d-1b39d7109de1"
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9 changes: 6 additions & 3 deletions ext/QuantumCliffordHeckeExt/lifted_product.jl
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Expand Up @@ -72,16 +72,19 @@ julia> code_n(c2), code_k(c2)
# Examples
Bivariate Bicycle codes belong to a wider class of generalized bicycle (GB) codes, which are further generalized into of two block group algebra (2GBA) codes. They can be viewed as a special case of Lifted Product construction based on abelian group `ℤₗ x ℤₘ` where `ℤⱼ` cyclic group of order `j`.
Bivariate Bicycle codes belong to a wider class of generalized bicycle (GB) codes,
which are further generalized into of two block group algebra (2GBA) codes. They
can be viewed as a special case of Lifted Product construction based on abelian
group `ℤₗ x ℤₘ` where `ℤⱼ` cyclic group of order `j`.
A [[756, 16, ≤ 34]] code from Table 3 of [bravyi2024high](@cite).
```jldoctest
julia> import Hecke: group_algebra, GF, abelian_group, gens; import Oscar: PcGroup;
julia> import Hecke: group_algebra, GF, abelian_group, gens
julia> l=21; m=18;
julia> GA = group_algebra(GF(2), abelian_group(PcGroup, [l, m]));
julia> GA = group_algebra(GF(2), abelian_group([l, m]));
julia> x = gens(GA)[1];
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