Quasi-Cyclic Codes by Gulliver and Bhargava

In a series of articles Gulliver and Bhargava construct quasi-cyclic codes over ℤ₂, ℤ₃, F₄, and F₈.

Results for codes over ℤ₂ can be found in [1], [2], [3], [4], and [5]. Codes over ℤ₃ and F₄ are listed in [6], codes over F₈ in [7].

References

[1]	T. Aaron Gulliver and Vijay K. Bhargava. Some best rate 1/p and rate (p−1)/p systematic quasi-cyclic codes. IEEE Transactions on Information Theory, 37(3):552–555, May 1991. doi:10.1109/18.79911
[2]	T. Aaron Gulliver and Vijay K. Bhargava. Nine good rate (m−1)/pm quasi-cyclic codes. IEEE Transactions on Information Theory, 38(4):1366–1369, July 1992. doi:10.1109/18.144718
[3]	T. Aaron Gulliver and Vijay K. Bhargava. Two new rate 2/p binary quasi-cyclic codes. IEEE Transactions on Information Theory, 40(5):1667–1668, September 1994. doi:10.1109/18.333889
[4]	T. Aaron Gulliver and Vijay K. Bhargava. An updated table of rate 1/p binary quasi-cyclic codes. Applied Mathematics Letters, 8(5):81–86, September 1995. doi:10.1016/0893-9659(95)00071-W
[5]	T. Aaron Gulliver and Vijay K. Bhargava. New optimal binary linear codes of dimensions 9 and 10. IEEE Transactions on Information Theory, 43(1):314–316, January 1997. doi:10.1109/18.567725
[6]	T. Aaron Gulliver and Vijay K. Bhargava. Some best rate 1/p and rate (p−1)/p systematic quasi-cyclic codes over GF(3) and GF(4). IEEE Transactions on Information Theory, 38(4):1369–1374, July 1992. doi:10.1109/18.144719
[7]	T. Aaron Gulliver and Vijay K. Bhargava. New linear codes over GF(8). Applied Mathematics Letters, 13(2):17–19, February 2000. doi:10.1016/S0893-9659(99)00159-7

Copyright

Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Quasi-Cyclic Codes by Gulliver and Bhargava.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2024-09-05. http://mint.sbg.ac.at/desc_CGulliverBhargava.html