@article{ed34d771daa04a3b80a47517d2ab524f,
title = "On the third greedy weight of 4-dimensional codes",
abstract = "The upper bounds on the difference between the third greedy weight and the third generalized Hamming weight of 4-dimensional q-ary codes are obtained by using the finite geometry method. The codes achieving the upper bounds are constructed, and these codes are optimal with respect to the security when they are used in the wire-tap channel of type II with the coset coding scheme.",
keywords = "Finite geometry method, Generalized Hamming weight, Greedy weight, Wire-tap channel",
author = "Liang Bai and Zihui Liu",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2019",
month = oct,
day = "1",
doi = "10.1007/s10623-019-00614-z",
language = "English",
volume = "87",
pages = "2213--2230",
journal = "Designs, Codes, and Cryptography",
issn = "0925-1022",
publisher = "Springer Netherlands",
number = "10",
}