From dea87d94d7ea66f7d486a3301c48996a01361824 Mon Sep 17 00:00:00 2001
From: LeonidPryadko <63686094+LeonidPryadko@users.noreply.github.com>
Date: Mon, 16 Oct 2023 19:29:56 -0700
Subject: [PATCH] Update generalized_bicycle.yml

two minor typos fixed.
---
 .../qudits_galois/qldpc/algebraic/generalized_bicycle.yml       | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/codes/quantum/qudits_galois/qldpc/algebraic/generalized_bicycle.yml b/codes/quantum/qudits_galois/qldpc/algebraic/generalized_bicycle.yml
index affcd9582..025563ee7 100644
--- a/codes/quantum/qudits_galois/qldpc/algebraic/generalized_bicycle.yml
+++ b/codes/quantum/qudits_galois/qldpc/algebraic/generalized_bicycle.yml
@@ -87,7 +87,7 @@ relations:
           The 2BGA code LP\((a,b)\) is then just a generalized bicycle code GB\([a(x),b(x)]\) constructed from the polynomials \(a(x)\) and \(b(x)\) corresponding to \(a,b\in \mathbb{F}_q[\mathbb{Z}_{\ell}]\).
       - code_id: lifted_product
         detail: |
-          A code GB\((a,b)\) with circulants of size \(\ell\) is a special (degenerate) case of a lifted-product code LP\((A,B)\) code over the Abelian \hyperref[topic:group-algebra]{group algebra} \(\mathbb{F}_q[\mathbb{Z}_{\ell}]\) associated with the cyclic group \(\mathbb{Z}_{\ell}\equiv \langle x|x^\ell=1\rangle\), with \(1\times 1\) matrices \(A=a(x)\), \(B=b(b)\) given by the corresponding polynomials.
+          A code GB\((a,b)\) with circulants of size \(\ell\) is a special (degenerate) case of a lifted-product code LP\((A,B)\) code over the Abelian \hyperref[topic:group-algebra]{group algebra} \(\mathbb{F}_q[\mathbb{Z}_{\ell}]\) associated with the cyclic group \(\mathbb{Z}_{\ell}\equiv \langle x|x^\ell=1\rangle\), with \(1\times 1\) matrices \(A=a(x)\), \(B=b(x)\) given by the corresponding polynomials.
       - code_id: quantum_quasi_cyclic
         detail: |
           An index-\(m\) quasi-cyclic (QC) code of length \(n=m\ell\) is usually defined as a linear code invariant under the \(m\)-step shift permutation \(T_{n}^{m}\).