Skip to main content
  • 166 Accesses

An alphabet is a set of characters (literals, figures, other symbols) together with a strict ordering (denoted by <) of this set. For good reasons it is usually required that a set of alphabetic characters has at least two elements and that it is finite. An alphabet Z of n elements is denoted Z n , the order is usually the one of the listing.

Z26 = {a, b,c,..., x,y,z} is the common alphabet of Latin letters of present days. In former times and cultures, the Latin letter alphabet was smaller, so

  • Z21 = Z26 {j, k, w, x, y} in Italian until about 1925,

  • Z24 = Z26 {k, w} in Spanish until about 1950,

  • Z25 = Z26 {w} in French and Swedish until about 1900.

In the Middle Ages, following the Latin tradition, 20 letters seem to have been enough for most writers (with v used for u),

$$Z_{20} = Z_{26} \backslash\{{\rm j, k, u, w, x, y}\}.$$

Sometimes, mutated vowels and consonants like ä, ö, ü, ß (German), æ, œ (French), å, ø (Scandinavian), l (Polish), č, ě, ř, š, ž (Czech) occur in literary texts,...

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  1. Bauer, F.L. (1997). “Decrypted secrets.” Methods and Maxims of Cryptology. Springer-Verlag, Berlin.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 International Federation for Information Processing

About this entry

Cite this entry

Bauer, F.L. (2005). Alphabet. In: van Tilborg, H.C.A. (eds) Encyclopedia of Cryptography and Security. Springer, Boston, MA . https://doi.org/10.1007/0-387-23483-7_10

Download citation

Publish with us

Policies and ethics