What I'm Looking For
I've developed a mathematical method for parameter selection in technical systems that provides provable guarantees instead of trial-and-error or simulation.
But I need to validate it with real-world problems.
I'm looking for engineers willing to share either:
- Past problems you've already solved (I'll show how my method would have approached it)
- Current problems you're actively debugging (I'll analyze and provide results)
This is completely free. I'm seeking validation, not clients.
What Problems Apply?
My method works for systems with modular arithmetic constraints - especially when you need parameters that either avoid or satisfy specific periodic behaviors.
Examples of problems that might fit:
Distributed Systems:
- RNG seed selection for parallel streams (avoiding correlation)
- Hash function parameter selection (collision avoidance)
- Load balancer configuration (even distribution requirements)
Cryptography:
- NTT transform sizing with prime modulus requirements
- Key generation parameter constraints
- Modular arithmetic in lattice-based crypto
Hardware Design:
- FPGA/ASIC parameter selection with multiple constraints
- PRBS generator configuration
- Clock domain crossing parameters
- Scrambler/descrambler alignment
Network Protocols:
- Timer interval selection (avoiding synchronization)
- Frame size selection with interoperability requirements
- Protocol parameter negotiation constraints
Signal Processing:
- FFT/NTT sizing requirements
- Filter parameter selection
- Sample rate constraints
What Makes This Different?
Traditional approaches:
- Trial-and-error → "Let's try A=110 and see if it works"
- Simulation → "Run 10,000 tests and hope we caught everything"
- Heuristics → "Usually values that avoid multiples of 6 work"
My approach:
- Direct calculation → "Here's the exact set of valid parameters"
- Mathematical proof → "This is guaranteed to work (or provably impossible)"
- Conflict detection → "Your constraints are incompatible because..."
Example: FPGA Parameter Conflict
I recently worked through a simulated scenario:
Problem: 16-lane FPGA PHY with constraints across PRBS generators, scramblers, and NTT blocks. Needed one parameter A that satisfied:
- AVOID: p=3 at depth t=3 (PRBS collision)
- AVOID: p=5 at depth t=2 (PRBS collision)
- AVOID: p=7 at depth t=3 (scrambler alignment)
- REQUIRE: p=11 at depth t=2 (NTT sizing)
- REQUIRE: p=12289 at depth t=2 (external interop)
Traditional approach: Test various values of A, simulate, hope for the best.
My analysis (result <24 hours):
- Calculated exact modulus for each constraint
- Combined them mathematically
- Found fundamental conflict: REQUIRE constraints force divisibility by 20, but AVOID constraint forbids it
- Proved no single value of A can satisfy all constraints
- Provided 4 resolution options with trade-offs
Value: Catching this at design time vs. discovering during hardware bring-up (6+ weeks later, $500K+ respin cost).
What I Need From You
If you have a problem that might fit:
Option 1: Post in Comments
- Brief description of your problem
- What you're trying to achieve
- What constraints you're working with
- I'll let you know if it's a fit
Option 2: Email Me Directly
Include:
- System description (what are you building/debugging?)
- The problem (what's going wrong? what behavior do you need?)
- Constraints (must avoid X, must support Y, compatibility requirements)
- What you've tried (simulation? trial-and-error? how long have you spent?)
Confidentiality:
- Don't share proprietary algorithms or trade secrets
- You can describe the problem structure without revealing company-specific details
- Example: "We have an LCG with modulus 2^32" is fine, don't need to share the specific constants
- I won't publish anything about your specific case without permission
What You'll Get
In return for sharing your problem:
-
Free analysis (typically 24-48 hours)
- Mathematical framework for your constraints
- Calculated parameters (or proof of impossibility)
- Verification approach
-
My methods/reasoning
- See exactly how I approached it
- Understand if/why it worked
-
Feedback opportunity
- Tell me what was useful vs. not useful
- Help shape this into something more engineers can use
What I'll Learn
From you:
- Does this method actually solve real problems?
- What use cases am I missing?
- How do engineers prefer to receive this type of analysis?
- Is the value proposition real or imagined?
- What would make this more useful?
This is validation research, not a sales pitch. I genuinely want to know if this helps or if I'm solving problems that don't actually exist.
My Background
- Independent mathematics researcher
- Peer-reviewed publications in p-adic methods and number theory
- ORCID: 0009-0005-4161-6615
- Developed this method over years of research
- Now testing if it has practical engineering value
Questions I Expect
Q: Why free?
A: I need to validate this works on real problems before I can claim it's useful. Your problem + feedback is valuable to me.
Q: What if my problem doesn't fit?
A: I'll tell you honestly within 24 hours. Not every problem is a fit, and that's useful data too.
Q: How technical do I need to be?
A: As technical as you're comfortable with. More detail = better analysis, but I can work with high-level descriptions too.
Q: Will you share my problem publicly?
A: Not without your explicit permission. I might ask if I can use it as an anonymous case study later, but that's optional.
Q: What's the catch?
A: No catch. Worst case for you: I analyze your problem and it doesn't help. Best case: You get useful results and I learn something.
Ready to Help?
Comment below with a brief description, or email cwstevens71@gmail.com with details.
Looking for 5-10 real problems to validate this approach.
Thanks for reading, and I hope I can help solve (or at least shed light on) some interesting problems!
Christopher W. Stevens (Independent Mathematical Researcher)
cwstevens71@gmail.com
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