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errorcorrectionzoo · Jul 24, 2024 · fdb709a · fdb709a
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diff --git a/codes/classical/bits/easy/hamming/hamming.yml b/codes/classical/bits/easy/hamming/hamming.yml
@@ -37,7 +37,7 @@ relations:
     - code_id: perfect_binary
     - code_id: q-ary_hamming
     - code_id: bch
-      detail: 'Binary Hamming codes are binary primitive narrow-sense BCH codes \cite[Corr. 5.1.5]{doi:10.1017/CBO9780511807077}. Binary Hamming codes are cyclic \cite[Thm. 12.22]{preset:Hill}.'
+      detail: 'Binary Hamming codes are binary primitive narrow-sense BCH codes \cite[Corr. 5.1.5]{doi:10.1017/CBO9780511807077}. Binary Hamming codes can be written in cyclic form \cite[Thm. 12.22]{preset:Hill}.'
     - code_id: univ_opt_q-ary
       detail: 'Binary Hamming codes and several of their extended, punctured, and shortened versions are LP universally optimal codes \cite{arxiv:1212.1913}.'
   cousins:

diff --git a/codes/classical/groups/rank_modulation.yml b/codes/classical/groups/rank_modulation.yml
@@ -16,7 +16,7 @@ alternative_names:
 
 description: |
   A family of codes that encode a finite set of size \(M\) into a group \(S_n\) of permutations of \([n]=(1,2,...,n)\).
-  They can be derived from Lee-metric codes, Reed-Solomon codes \cite{doi:10.1109/ISIT.2011.6034261}, quadratic residue codes and most binary codes.
+  They can be derived from Lee-metric codes, Reed-Solomon codes \cite{arxiv:1110.2557}, quadratic residue codes and most binary codes.
 
 protection: |
   Protects against errors in the Kendall tau distance on the space of permutations.
@@ -37,7 +37,7 @@ relations:
     - code_id: gray
       detail: 'The rank-modulation Gray code is an extension of the original binary Gray code to a code on the permutation group \cite{doi:10.1109/TIT.2009.2018336}.'
     - code_id: reed_solomon
-      detail: 'RS codes can be used to design rank modulation codes \cite{doi:10.1109/ISIT.2011.6034261}.'
+      detail: 'RS codes can be used to design rank modulation codes \cite{arxiv:1110.2557}.'
     - code_id: binary_permutation
       detail: 'Binary permutation-based codes also encode messages into permutations but protect against errors with the Hamming distance.'