Najmanjša teža kode presečnih premic v PG(3, q)

Key Points

• The minimum weight of codewords for even q equals q³ + q² + q + 1, while for odd q it equals q³ + 2q² + q + 1.
• This work highlights the distinct weight characteristics of codewords based on whether q is even or odd.
• Characterization of the second minimum weight codewords is provided for cases when q is even, expanding our understanding of code structure.
• Focus on p-ary linear codes in PG(3,q) enhances the existing knowledge of finite projective spaces and their applications.

Abstract