Browsing Department of Informatics by Author "Shi, Minjia"
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The Connections Among Hamming Metric, b-Symbol Metric, and r-th Generalized Hamming Metric
Shi, Minjia; Zhu, Hongwei; Helleseth, Tor (Journal article; Peer reviewed, 2023)The r -th generalized Hamming metric and the b -symbol metric are two different generalizations of Hamming metric. The former is used on the wire-tap channel of Type II, and the latter is motivated by the limitations of ... -
Covering Radius of Generalized Zetterberg Type Codes Over Finite Fields of Odd Characteristic
Shi, Minjia; Helleseth, Tor; Özbudak, Ferruh (Journal article; Peer reviewed, 2023)Let Fq0 be a finite field of odd characteristic. For an integer s≥1 , let Cs(q0) be the generalized Zetterberg code of length qs0+1 over Fq0 . If s is even, then we prove that the covering radius of Cs(q0) is 3. Put q=qs0 ... -
Five-weight codes from three-valued correlation of M-sequences
Shi, Minjia; Qian, Liqin; Helleseth, Tor; Sole, Patrick (Journal article; Peer reviewed, 2023)In this paper, for each of six families of three-valued m-sequence correlation, we construct an infinite family of five-weight codes from trace codes over the ring R = F2 + uF2, where u2 = 0. The trace codes have the ...