engleski

s-PD-sets for codes from projective planes PG(2, 2^h), where 5<=h<=9

In this talk we will describe a construction of 2-PD-sets of 16 elements for codes from the Desarguesian projective planes PG(2, q), where q = 2^h and 5 ≤ h ≤ 9. We will also describe a construction of 3-PD-sets of 75 elements for the code from the Desarguesian projective plane PG(2, q), where q = 2^9. These 2-PD-sets and 3-PD- sets can be used for partial permutation decoding of codes obtained from the Desarguesian projective planes.

Desarguesian projective plane ; code ; PD-set ; s-PD-set ; permutation decoding

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