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This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Symmetric Ciphers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the inverse of (x5) modulo (x8+x4 +x3+ x + 1). |
| A. | x<sup>5</sup>+ x<sup>4</sup>+ x<sup>3</sup>+x+1 |
| B. | x<sup>5</sup>+ x<sup>4</sup>+ x<sup>3</sup> |
| C. | x<sup>5</sup>+ x<sup>4</sup>+ x<sup>3</sup>+1 |
| D. | x<sup>4</sup>+ x<sup>3</sup>+x+1 |
| Answer» D. x<sup>4</sup>+ x<sup>3</sup>+x+1 | |
| 2. |
Find the inverse of (x2 + 1) modulo (x4 + x + 1). |
| A. | x<sup>4</sup>+ x<sup>3</sup>+x+1 |
| B. | x<sup>3</sup>+x+1 |
| C. | x<sup>3</sup>+ x<sup>2</sup>+x |
| D. | x<sup>2</sup>+x |
| Answer» C. x<sup>3</sup>+ x<sup>2</sup>+x | |
| 3. |
On multiplying (x6+x4+x2+x+1) by (x7+x+1) in GF(28) with irreducible polynomial (x8 + x4 + x3 + x + 1) we get |
| A. | x<sup>7</sup>+x<sup>6</sup>+ x<sup>3</sup>+x<sup>2</sup>+1 |
| B. | x<sup>6</sup>+x<sup>5</sup>+ x<sup>2</sup>+x+1 |
| C. | x<sup>7</sup>+x<sup>6</sup>+1 |
| D. | x<sup>7</sup>+x<sup>6</sup>+x+1 |
| Answer» D. x<sup>7</sup>+x<sup>6</sup>+x+1 | |
| 4. |
On multiplying (x5 + x2 + x) by (x7 + x4 + x3 + x2 + x) in GF(28) with irreducible polynomial (x8 + x4 + x3 + x + 1) we get |
| A. | x<sup>12</sup>+x<sup>7</sup>+x<sup>2</sup> |
| B. | x<sup>5</sup>+x<sup>3</sup>+x<sup>3</sup> |
| C. | x<sup>5</sup>+x<sup>3</sup>+x<sup>2</sup>+x |
| D. | x<sup>5</sup>+x<sup>3</sup>+x<sup>2</sup>+x+1 |
| Answer» E. | |
| 5. |
Find the HCF/GCD of x6+x5+x4+x3+x2+x+1 and x4+x2+x+1. |
| A. | x<sup>4</sup>+x<sup>3</sup>+x<sup>2</sup>+1 |
| B. | x<sup>3</sup>+x<sup>2</sup>+1 |
| C. | x<sup>2</sup>+1 |
| D. | x<sup>3</sup>+x<sup>2</sup>+1 |
| Answer» C. x<sup>2</sup>+1 | |
| 6. |
The polynomial f(x)=x3+x+1 is a reducible. |
| A. | True |
| B. | False |
| Answer» C. | |
| 7. |
If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+1, find the quotient of f(x) / g(x). |
| A. | x<sup>4</sup>+x<sup>3</sup>+1 |
| B. | x<sup>4</sup>+1 |
| C. | x<sup>5</sup>+x<sup>3</sup>+x+1 |
| D. | x<sup>3</sup>+x<sup>2</sup> |
| Answer» C. x<sup>5</sup>+x<sup>3</sup>+x+1 | |
| 8. |
If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+1, find f(x) x g(x). |
| A. | x<sup>12</sup>+x<sup>5</sup>+x<sup>3</sup>+x<sup>2</sup>+x+1 |
| B. | x<sup>10</sup>+x<sup>4</sup>+1 |
| C. | x<sup>10</sup>+x<sup>4</sup>+x+1 |
| D. | x<sup>7</sup>+x<sup>5</sup>+x+1 |
| Answer» D. x<sup>7</sup>+x<sup>5</sup>+x+1 | |