# The Special Fish Report

## Albert W. Small (December 1944)

### Page 69

Tony Sale's
Codes and Ciphers

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CX/MSS
TOP SECRET Special Fish Report Page 69

(Assuming limitation P(0 cross in ) = (l-b)^5 = .003 = C0
= .): 1/5 *P1 = .007 = C1

1/1O*P2 = .015 = C2

1/10*P3 = .032 = C3

1/5 *P4 = .069 = C4

P5 = .151 = C5

Now, if limitation in 1st position = limitation in second position

P(0 crosses in the delta psi prime sum) = (1/2)( B0^2 + C0^2 + 5B1^2 + 5C1^2

+10B2^2 + 10C2^2 + 10B3^2 + 1OC3^2 + 5B4^2 + 5C4^2

+ B5^2 + C5^2) = .183

P(1 cross in the delta psi' sum) = .029

P(2 crosses in the delta psi' sum)= .024

P(3 crosses in the delta psi' sum)= .024

P(4 crosses in the delta psi' sum)= .029

P(5 crosses in the delta psi' sum)= .047

So that with limitations alike:

(Delta-D)A + (Delta-D)B Decibans in favor
or(DeltaPSI)A + (DeltaPSI)B of correct setting
of go-back

L0 7.7
L1 -0.3
L2 -1.1
L3 -1.2
L4 -0.3
L5 1.8

and expected score in right position : 855 decibans on a length of 1,000;

and expected score in wrong position = -516 decibans on a length of 1,000.

Again given that the limitations are alike, the sum of the

delta psi prime streams breaks down into component parts as shown on the

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