Self-Dual Normal Basis of a Galois Ring by Irwansyah, Intan Muchtadi-Alamsyah, Aleams Barra, Ahmad Muchlis

“…Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is considered as a free module over R. …”
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On generalized quaternion algebras by George Szeto

“…Sridharan such that (1) B[j] is a free B-module with a basis {1,j}, and (2) j2=−1 and jb=σ(b)j for each b in B. …”
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Short Blocklength Nonbinary Raptor-Like LDPC Coding Systems Design and Simulation by Jakub Hyla, Wojciech Sulek

“…Further exploration shows that, when the NB QC-RL-LDPC coding over Galois Field <inline-formula> <tex-math notation="LaTeX">$\mathrm {GF}(2^{q})$ </tex-math></inline-formula> is combined with adaptive <inline-formula> <tex-math notation="LaTeX">$2^{X}$ </tex-math></inline-formula>-ary digital modulations, which provides flexibility in diversifying modulation orders by mixing higher order modulations for initial HR transmission with a lower order for IR, it can improve performance in the low Signal to Noise Ratio regime. …”
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