---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/LocalFields/PAdicRingsAndTheirExtensions/bibliography.html"
source: "https://docs.magma-maths.org/LocalFields/PAdicRingsAndTheirExtensions/bibliography.md"
part: "Local Fields"
chapter: "$p$-Adic Rings and Their Extensions"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Local Fields", "source": "../index-local-fields.md"}
  - {"title": "$p$-Adic Rings and Their Extensions", "source": "index-padic-rings-and-their-extensions.md"}
prev: {"title": "Exact $p$-Adic Rings", "source": "xpadic.md"}
next: {"title": "General $p$-Adic Extensions", "source": "../GeneralPAdicExtensions/index-general-padic-extensions.md"}
---

# Bibliography

<a id="cite-hb-ec-hc-crypto"></a>
- **[C+05]** H. Cohen and others. *Handbook of Elliptic and Hyperelliptic Curve Cryptography*. Discrete Mathematics and Its Applications. CRC Pr Llc, 2005.
<a id="cite-doris-2021"></a>
- **[Dor21]** Christopher Doris. Exact $p$-adic computation in Magma. *Journal of Symbolic Computation*, 104:476493, May 2021. URL: [http://dx.doi.org/10.1016/j.jsc.2020.08.005](http://dx.doi.org/10.1016/j.jsc.2020.08.005), [doi:10.1016/j.jsc.2020.08.005](https://doi.org/10.1016/j.jsc.2020.08.005).
<a id="cite-jones-roberts"></a>
- **[JR06]** J. W. Jones and D. P. Roberts. A database of local fields. *J. Symb. Comput.*, 41(1):80–97, 2006.
<a id="cite-pauli-roblot"></a>
- **[PR01]** S. Pauli and X.-F. Roblot. On the computation of all extensions of a $p$-adic field of a given degree. *Math. Comp.*, 70(236):1641–1659, 2001.
<a id="cite-pauli-diss"></a>
- **[Pau01a]** Sebastian Pauli. *Efficient Enumeration of Extensions of Local Fields with Bounded Discriminant*. PhD thesis, Concordia University, 2001.
<a id="cite-pauli-r4"></a>
- **[Pau01b]** Sebastian Pauli. Factoring polynomials over local fields. *Journal of Symbolic Computation*, 32(5):533–547, 2001.
<a id="cite-pauli-lcf"></a>
- **[Pau06]** Sebastian Pauli. Constructing Class Fields over Local Fields. *J. Théorie des Nombres de Bordeaux*, 18(3):627–652, 2006.