Question: Given an [n,k,d]-linear code over a finite field Fq, can you always construct (a) an [n+1,k+1,d]-linear code? (b) an [n+1,k+1,d]-linear code? (c) an [n1,k1,d]-linear code?

Given an [n,k,d]-linear code over a finite field Fq, can you

Given an [n,k,d]-linear code over a finite field Fq, can you always construct (a) an [n+1,k+1,d]-linear code? (b) an [n+1,k+1,d]-linear code? (c) an [n1,k1,d]-linear code? (d) an [n1,k+1,d]-linear code? Justify your

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