You don't have to read the whole file just to modify three bytes:
#!/usr/bin/perl
use strict;
use warnings;
use Fcntl ':seek';
die "Usage: $0 file\n" unless @ARGV == 1;
my $fn = shift;
my $LEN = 3;
open my $fh, '+<:raw', $fn or die "$fn: D'Oh! $!\n";
my $offset = rand( -$LEN + -s $fh );
seek $fh, $offset, SEEK_SET or die "$fn: D'Oh! $!\n";
read $fh, my $cont, $LEN;
seek $fh, $offset, SEEK_SET or die "$fn: D'Oh! $!\n";
print $fh $cont ^ join '', map chr( rand 0x100 ), 1 .. $LEN;
__END__
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