Notes on classification of toric surface codes of dimension 5

作者：Yau Stephen S T^*; Zuo Huaiqing

来源：Applicable Algebra in Engineering Communication and Computing, 2009, 20(2): 175-185.

DOI：10.1007/s00200-009-0096-2

This is an addendum to the beautiful paper by Little and Schwarz (Appl Algebra Eng Commun Comput 18:349-367, 2007) in which one case of toric surface codes of dimension 5 was missing in their classification result of toric surface codes of dimension less than 6. Our main purpose is to fill the gap of this paper. We find that our new code C(P5)(7) enjoys more symmetry, and it has more codewords of minimum distance in general. However, over some special fields F(2)m, C(P5(5)) and C(P5)(7) have the same number of the codewords of minimum distance.

• 出版日期2009-6
• 单位华东师范大学