2 papers
math.RA2025
Symplectic Quasi Self-dual, Self-dual, and LCD Codes over Non-unital Rings of Order Six
Altaf Alshuhail
We consider codes over the two semi-local non-unital rings of order six, \[ H_{23} = \langle a,b \mid 2a=0, 3b = 0, a^2=a, b^2 = 0, ab = 0 = ba \rangle,\] and \[H_{32} = \langle a,…
cs.IT2025
Duality of Codes over Non-unital Rings of Order Six
Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez
We present some basic theory on the duality of codes over two non-unital rings of order , namely and . For a code over these rings, we associate a…