【摘要】 设Z[32]是代数数域Q(32)的代数整数环.把商环Z[32]/(2n)的乘法单位群分解为群的直积.由此获得三维信号空间并可用来构造分组码.这些码能够改正某些错误.更多还原

【Abstract】 In this paper it is shown that the multiplicative group of units in the quotient ring Z[32]/（2ⁿ） can be used to obtain a three dimensional signal space of 2^3n-1 points and to design one error correcting codes, where Z[32] is the algebraic integer ring of the algebraic number field Q（32）. The required modulo operation in this paper is simpler and the constructed block codes are able to correct one additive error.更多还原