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expanding stubs
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valbert4 committed Jun 30, 2024
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3 changes: 2 additions & 1 deletion codes/classical/analog/lattice/dual/an_dual.yml
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Expand Up @@ -10,7 +10,8 @@ logical: reals
name: '\(A_n^{\perp}\) lattice code'
short_name: '\(A_n^{\perp}\)'

description: Stub.
description: |
Lattice-based \(n\)-dimensional code whose codewords form the dual of the \(A_n\) lattice.
protection: |
Exhibits the thinnest covering in two dimensions and the thinnest lattice covering in dimensions three \cite{manual:{Bambah, R. P., and H. Gupta. "On lattice coverings by spheres." Proceedings of the National Institute of Sciences of India. Vol. 20. Indian National Science Academy, 1954.}}, four \cite{manual:{Delaunay, B. N., and S. S. Ryskov. "Solution of the problem of least dense lattice covering of a four-dimensional space by equal spheres." Sov. Math. Dokl. Vol. 4. 1963.}}, and five \cite{manual:{S. S. Ryshkov, E. P. Baranovskii, “Solution of the problem of least dense lattice covering of five-dimensional space by equal spheres”, Dokl. Akad. Nauk SSSR, 222:1 (1975), 39–42},manual:{S. S. Ryshkov, E. P. Baranovskii, “C-types of n-dimensional lattices and 5-dimensional primitive parallelohedra (with application to the theory of coverings)”, Trudy Mat. Inst. Steklov., 137, 1976, 3–131; Proc. Steklov Inst. Math., 137 (1976), 1–140}}.
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3 changes: 2 additions & 1 deletion codes/classical/analog/modulation/fsk.yml
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Expand Up @@ -11,7 +11,8 @@ name: 'Frequency-shift keying (FSK) code'
short_name: 'FSK'

description: |
Stub.
A \(q\)-ary frequency-shift keying (\(q\)-FSK) encodes one \(q\)-ary digit of information into signals with \(q\) different frequencies.
relations:
parents:
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Expand Up @@ -11,9 +11,9 @@ name: Coherent FSK (CFSK) c-q code
short_name: CFSK c-q
introduced: '\cite{arxiv:1802.08287,doi:10.1103/PRXQuantum.1.010308}'

description: \hyperref[code:coherent_state_c-q]{Coherent-state c-q code} encoding
into coherent states that are frequency-shifted with certain initial relative phase.
description: |
\hyperref[code:coherent_state_c-q]{Coherent-state c-q code} encoding into coherent states that are frequency-shifted with certain initial relative phase.
Codewords are coherent states \(|\alpha_m\rangle\), where \begin{align} \alpha_m
= \alpha e^{i(\omega_0+[m-1]\Delta\omega)t+i(m-1)\Delta\theta} \end{align} for common
frequency \(\omega_0\), frequency shift \(\Delta\omega < 2\pi/T\), total time \(T\),
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