See below.

**Subject Computer Science Information Theory**

See below.

Part a)

Each of the 5 factors is irreducible polynomial, so the problem is equivalent with finding the number of divisors. Considering each of the 5 factors as divisors (a, b, c, d, e), we obtain 32 divisors, so there are 32 cyclic codes of block length 15. We also recall that when multiplying two of the factors, the operation is preserved (we also obtain a cyclic code from the product of two or more cyclic codes)....

Each of the 5 factors is irreducible polynomial, so the problem is equivalent with finding the number of divisors. Considering each of the 5 factors as divisors (a, b, c, d, e), we obtain 32 divisors, so there are 32 cyclic codes of block length 15. We also recall that when multiplying two of the factors, the operation is preserved (we also obtain a cyclic code from the product of two or more cyclic codes)....

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Binary

Number

2's

Complement

Two's

Signed

Unsigned

Mantissa

Exponent

IEEE

Branch

Instruction

MIPS

PC

Program

Counter

Multiply

Device

CPU

Chip

Manufacturer

Assembly

Language

Processing

Speed

Cache

Overflow

Carry

Out

Truncation

Binary

Number

2's

Complement

Two's

Signed

Unsigned

Mantissa

Exponent

IEEE

Branch

Instruction

MIPS

PC

Program

Counter

Multiply

Device

CPU

Chip

Manufacturer

Assembly

Language

Processing

Speed

Cache

Overflow

Carry

Out

Truncation

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Recurrence

Relation

Set

Operation

Function

One-to-one

Onto

Rule

Counterexample

Intersection

Union

Difference

Subset

Mod

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Sequence

Induction

Equivalence

Relation

Reflexive

Symmetric

Transitive

Class

Recurrence

Relation

Set

Operation

Function

One-to-one

Onto

Rule

Counterexample

Intersection

Union

Difference

Subset

Mod

Fibonacci

Sequence

Induction

Equivalence

Relation

Reflexive

Symmetric

Transitive

Class

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Discrete Math

Computer Science

Sequence

Relations

Conditions

Ternary

Formula

Algorithms Assignment

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Algorithm

Computer Science

Graphs

Programming Language

Programming

Analysis