Rank π solutions to the matrix equation ππ΄π^{π}=πΆ,π΄ alternate, over πΊπΉ(2^{π¦})
Rank π solutions to the matrix equation ππ΄π^{π}=πΆ,π΄ alternate, over πΊπΉ(2^{π¦})
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="GF left-parenthesis q right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mtext>GF</mml:mtext> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>q</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">{\text {GF}}(q)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> denote a finite field of characteristic two. Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper V Subscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>V</mml:mi> <mml:mi>n</mml:mi> </mml:msub> β¦