How does the length of the RSA key affect the computational difficulty required for decrypting encrypted data without a private key?SL
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B
Official IB Result
IB Grade: B
Criteria A: Focus and Method
5/6
0
3
6
Criteria StrandsPro
A.1Topic communication and explanation
Excellent
A.2Research question clarity and focus
Excellent
A.3Research methodology
Moderate
Criteria Feedback
- The student communicates a clear and mathematically relevant topic throughout the investigation.
- The student's research question stays focused on a definable relationship and is mostly well connected to the discussion.
- The student generally keeps the discussion anchored to RSA key length, factorisation difficulty, and algorithmic scaling.
- Some wording is imprecise, especially where the security model of RSA is described.
- The scope of “computational difficulty” is not defined tightly enough at the start.
- The method would be stronger if the student stated the exact algorithms and assumptions more explicitly before the analysis begins.
Criteria B: Knowledge and Understanding
4/6
0
3
6
Criteria StrandsPro
B.1Subject knowledge application
Moderate
B.2Use of terminology and concepts
Moderate
Criteria Feedback
- The student shows good knowledge of RSA structure, modular arithmetic, and the role of prime factorisation.
- The student uses relevant subject-specific terminology such as modulus, totient, modular inverse, bit length, and GNFS.
- The student's worked mathematical examples show that they understand several key ideas behind RSA implementation.
- Some terminology and notation are used inconsistently or inaccurately.
- A few mathematical statements need their conditions stated more carefully, especially where theorems are applied.
- The use of formulas and asymptotic expressions is sometimes not precise enough for the claims being made.
Criteria C: Critical Thinking
7/12
0
6
12
Criteria StrandsPro
C.1Research quality
Poor
C.2Analysis depth
Poor
C.3Discussion and evaluation
Poor
Criteria Feedback
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- Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
- Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
- Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
Criteria D: Presentation
2/4
0
2
4
Criteria StrandsPro
D.1Structure appropriateness
Good
D.2Layout and formatting
Poor
Criteria Feedback
- Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
- Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
- Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
- Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.