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The

Chinese

Remainder

Theorem

and

the

Prime

Memo]ry

System Q.S.

Chinese

Gao

Academy

for filling

Abstract As

we know,

portant

the

problem

puter,

there

system

conj%ct

problem

in memory

prime

memory

lished

prime

scheme

approach.

memory

of super

of conj-lict-free

skewing

system

is a very

system

are two kinds

approaches:

approaches memory

space for

‘holes’

[1 7],

where

p is

number

In this paper,

theorem,

system out

wasting

puting

only any

a perfect

need to find

memory

prime

and

“d Mod

p“

We

when

p=21

[20-21]

“l-bits

“l-bits

cycle! adder”

similar

p=2z + 1. Avizienis

[19] also proposed p“ when

In

without

this

ory

com-

paper,

system

without

the quotient.

we present

which

only

wasting the

any

in

in [w]

approach

for finding

p with-

a

which

case) for find-

remain-

“d Mod

proposed

cycle adder”

– 1, and

a

which

approach,

(as a special

by parallel

also

[18] propose modulus

division

the approach

computing I.

[17].

They

for some cases such Teng

memory

the d Mod

space

to

data.

performing

multiple-bits

one step or by serial steps

ation

for

applied

speed

other

in detail.

technique

be

ing

the

memory

based on Chinese

we present

which

of

the implement

includes

or

filling

with

p-vector

high

pub-

holes

as linear

can

and

those

proposed simple

memory

are complex

of the

der

com-

Previously

I/p

the

im-

approach

wasting modules.

of Sciences

when

an approach

p=2~ – 1 or p=21 + 1. a perfect

need

prime

to find

memory

the

space

mem-

d Mod

and

p

without

quotient.

INTRODUCTION II.

.4 fundamental

problem

the effective search ment.

There

problem are two

[10-14],

the number

re-

of memory

can be achieved is the

is prime Kuck linear

without

supercomputer

17 memories

and

16 processors.

[17]

the

prime

describe

in detail, plementation. p memory

on which This modules,

the

mem-

a memory

if n is not

memory

or increases

it wastes the

v