Novel Repair-by-Transfer Codes and Systematic Exact-MBR Codes with Lower Complexities and Smaller Field Sizes
Novel Repair-by-Transfer Codes and Systematic Exact-MBR Codes with Lower Complexities and Smaller Field Sizes
The <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$(n,k,d)$</tex> <mathgraphic fileref="chung-ieq1-2297109.gif" graphicformat="GIF"/></formula> regenerating code is a class of <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$(n,k)$</tex><mathgraphic fileref="chung-ieq2-2297109.gif" graphicformat="GIF"/> </formula> erasure codes with the capability to recover a lost code fragment from other <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex Notation="TeX">$d$</tex><mathgraphic fileref="chung-ieq3-2297109.gif" graphicformat="GIF"/></formula> existing code fragments. In this paper, …