A New Kind of Nonbinary Uniquely Decodable Codes with Arbitrary Code Length for Multiple-Access Adder Channel
Shan Lu, Wei Guo Hou, Jun Cheng, Hiroshi Kamabe · 2018
A kind of multiuser k-ary codes for the multiple-access adder channel is proposed. Given any Tf-user and Tg-user k-ary uniquely decodable (UD) codes with code lengths f and g, respectively, a (Tf+ Tg+ 1)-user k-ary UD code with code length f + g is obtained. The proposed scheme has no restriction on the code structure, e.g., affine, and can be constructed from any arbitrary two UD codes. Moreover, a recursive construction of a kind of k-ary UD codes with arbitrary code length is given. The proposed codes have the higher code rate and the shorter code length than those of the previous codes for a fixed number of users.