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cs.IT2022
On the Uniqueness of Balanced Complex Orthogonal Design
Yiwen Gao, Yuan Li, Haibin Kan
Complex orthogonal designs (CODs) play a crucial role in the construction of space-time block codes. Their real analog, real orthogonal designs (or equivalently, sum of squares com…
cs.IT2022
Minimal Binary Linear Codes from Vectorial Boolean Functions
Yanjun Li, Jie Peng, Haibin Kan +1
Recently, much progress has been made to construct minimal linear codes due to their preference in secret sharing schemes and secure two-party computation. In this paper, we put fo…
cs.IT2022
The Covering Radius of the Third-Order Reed-Muller Code RM(3,7) is 20
Jinjie Gao, Haibin Kan, Yuan Li +1
We prove the covering radius of the third-order Reed-Muller code RM(3,7) is 20, which was previously known to be between 20 and 23 (inclusive). The covering radius of RM(3, 7) is t…