Lecture 12
نویسنده
چکیده
We recap our analysis of e-error locating pairs from last time. For more detail, refer to Lecture 11. We defined u ? v = (u1v1, . . . , unvn) for u, v ∈ Fq , and A ? C = {a ? b|a ∈ A, b ∈ B} for A,B ⊆ Fq . Recall that (A,B) is an e-error locating pair for a linear code C iff 1. A,B are linear codes 2. A ? C ⊆ B 3. dim(A) > e 4. ∆(B) > e 5. ∆(C) > n−∆(A) Finding an (A,B) pair which satisfies properties 2-4 is nontrivial. We will touch more on this when we talk about algebraic geometry codes later in the lecture.
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تاریخ انتشار 2002