CONSTRUCTION OF SELF-DUAL CODES OVER F2 + uF2
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초록
We present two kinds of construction methods for self-dual codes over F2 + uF2. Specially, the second construction (respectively,the rst one) preserves the types of codes, that is, the constructed codes from Type II (respectively, Type IV) is also Type II (respectively, Type IV). Every Type II (respectively, Type IV) code over F2 + uF2 of free rank larger than three (respectively, one) can be obtained via the second construction (respectively, the rst one). Using these constructions, we update the information on self-dual codes over F2+uF2 of length 9 and 10,in terms of the highest minimum (Hamming, Lee, or Euclidean) weight and the number of inequivalent codes with the highest minimum weight.
Abstract
We present two kinds of construction methods for self-dual codes over F2 + uF2. Specially, the second construction (respectively,the rst one) preserves the types of codes, that is, the constructed codes from Type II (respectively, Type IV) is also Type II (respectively, Type IV). Every Type II (respectively, Type IV) code over F2 + uF2 of free rank larger than three (respectively, one) can be obtained via the second construction (respectively, the rst one). Using these constructions, we update the information on self-dual codes over F2+uF2 of length 9 and 10,in terms of the highest minimum (Hamming, Lee, or Euclidean) weight and the number of inequivalent codes with the highest minimum weight.
참고문헌 (10)
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