Abstract—The trace map has been used very successfully to generate cocyclic complex and Butson Ha... more Abstract—The trace map has been used very successfully to generate cocyclic complex and Butson Hadamard matrices and simplex codes over Z4 and Z2s. We extend this technique to obtain new linear codes over Zps. It is worth nothing here that these codes are cocyclic but not simplex codes. Further we find that the construction method also gives Butson Hadamard matrices of order psm. I.
I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal str... more I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal structure of the Hadamard matrices used to generate these codes came from the nature of the cocyclic map, which allowed for substantial cut-downs in the computational times ...
I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal str... more I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal structure of the Hadamard matrices used to generate these codes came from the nature of the cocyclic map, which allowed for substantial cut-downs in the computational times ...
Abstract—The trace map has been used very successfully to generate cocyclic complex and Butson Ha... more Abstract—The trace map has been used very successfully to generate cocyclic complex and Butson Hadamard matrices and simplex codes over Z4 and Z2s. We extend this technique to obtain new linear codes over Zps. It is worth nothing here that these codes are cocyclic but not simplex codes. Further we find that the construction method also gives Butson Hadamard matrices of order psm. I.
I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal str... more I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal structure of the Hadamard matrices used to generate these codes came from the nature of the cocyclic map, which allowed for substantial cut-downs in the computational times ...
I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal str... more I. INTRODUCTION The use of the cocyclic map to find codes was first done in [1]. The internal structure of the Hadamard matrices used to generate these codes came from the nature of the cocyclic map, which allowed for substantial cut-downs in the computational times ...
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Papers by Nimalsiri Pinnawala