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海明码是一种常用的纠错码。如果被校数据是k位二进制数,再增加若干位校验位,使得校验位的值决定于某些被校位数据,当被校数据出错时,可根据校验位值的变化找到出错位,进而纠正出错位。若新增校验位为r位,则校验位之位数与被校验数据之位数应满足(3)。由校验位和被校验位数据逐位异或可得到海明校验值,如果各位海明校验值均为零,表示(4)。

  • A.2r≥k+r
  • B.2r≥k+r+1
  • C.2k≥k+r+1
  • D.2r≥k+r
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