feature/1114 implement account interface (#1167)

- **refactor: move session-related code to middleware package**
- **refactor: update PKL build process and adjust related
configurations**
- **feat: integrate base.cosmos.v1 Genesis module**
- **refactor: pass session context to modal rendering functions**
- **refactor: move nebula package to app directory and update templ
version**
- **refactor: Move home section video view to dedicated directory**
- **refactor: remove unused views file**
- **refactor: move styles and UI components to global scope**
- **refactor: Rename images.go to cdn.go**
- **feat: Add Empty State Illustrations**
- **refactor: Consolidate Vault Index Logic**
- **fix: References to App.wasm and remove Vault Directory embedded CDN
files**
- **refactor: Move CDN types to Models**
- **fix: Correct line numbers in templ error messages for
arch_templ.go**
- **refactor: use common types for peer roles**
- **refactor: move common types and ORM to a shared package**
- **fix: Config import dwn**
- **refactor: move nebula directory to app**
- **feat: Rebuild nebula**
- **fix: correct file paths in panels templates**
- **feat: Remove duplicate types**
- **refactor: Move dwn to pkg/core**
- **refactor: Binary Structure**
- **feat: Introduce Crypto Pkg**
- **fix: Broken Process Start**
- **feat: Update pkg/* structure**
- **feat: Refactor PKL Structure**
- **build: update pkl build process**
- **chore: Remove Empty Files**
- **refactor: remove unused macaroon package**
- **feat: Add WebAwesome Components**
- **refactor: consolidate build and generation tasks into a single
taskfile, remove redundant makefile targets**
- **refactor: refactor server and move components to pkg/core/dwn**
- **build: update go modules**
- **refactor: move gateway logic into dedicated hway command**
- **feat: Add KSS (Krawczyk-Song-Song) MPC cryptography module**
- **feat: Implement MPC-based JWT signing and UCAN token generation**
- **feat: add support for MPC-based JWT signing**
- **feat: Implement MPC-based UCAN capabilities for smart accounts**
- **feat: add address field to keyshareSource**
- **feat: Add comprehensive MPC test suite for keyshares, UCAN tokens,
and token attenuations**
- **refactor: improve MPC keyshare management and signing process**
- **feat: enhance MPC capability hierarchy documentation**
- **refactor: rename GenerateKeyshares function to NewKeyshareSource for
clarity**
- **refactor: remove unused Ethereum address computation**
- **feat: Add HasHandle and IsAuthenticated methods to HTTPContext**
- **refactor: Add context.Context support to session HTTPContext**
- **refactor: Resolve context interface conflicts in HTTPContext**
- **feat: Add session ID context key and helper functions**
- **feat: Update WebApp Page Rendering**
- **refactor: Simplify context management by using single HTTPContext
key**
- **refactor: Simplify HTTPContext creation and context management in
session middleware**
- **refactor: refactor session middleware to use a single data
structure**
- **refactor: Simplify HTTPContext implementation and session data
handling**
- **refactor: Improve session context handling and prevent nil pointer
errors**
- **refactor: Improve session context handling with nil safety and type
support**
- **refactor: improve session data injection**
- **feat: add full-screen modal component and update registration flow**
- **chore: add .air.toml to .gitignore**
- **feat: add Air to devbox and update dependencies**

pkg/crypto/sharing/v1/feldman.go

@@ -0,0 +1,107 @@
+//
+// Copyright Coinbase, Inc. All Rights Reserved.
+//
+// SPDX-License-Identifier: Apache-2.0
+//
+
+package v1
+
+import (
+	"crypto/elliptic"
+	"encoding/binary"
+	"fmt"
+
+	"github.com/onsonr/sonr/pkg/crypto/core/curves"
+)
+
+// Feldman Verifiable Secret Sharing Scheme
+type Feldman struct {
+	threshold, limit uint32
+	curve            elliptic.Curve
+}
+
+// FeldmanResult contains all the data from calling Split
+type FeldmanResult struct {
+	SecretShares []*ShamirShare
+	Verifiers    []*ShareVerifier
+}
+
+func NewFeldman(threshold, limit uint32, curve elliptic.Curve) (*Feldman, error) {
+	if limit < threshold {
+		return nil, fmt.Errorf("limit cannot be less than threshold")
+	}
+	if threshold < 2 {
+		return nil, fmt.Errorf("threshold must be at least 2")
+	}
+	return &Feldman{
+		threshold, limit, curve,
+	}, nil
+}
+
+func (f Feldman) Split(secret []byte) ([]*ShareVerifier, []*ShamirShare, error) {
+	field := curves.NewField(f.curve.Params().N)
+	shamir := Shamir{f.threshold, f.limit, field}
+	shares, poly, err := shamir.GetSharesAndPolynomial(secret)
+	if err != nil {
+		return nil, nil, err
+	}
+	// Generate the verifiable commitments to the polynomial for the shares
+	verifiers := make([]*ShareVerifier, len(poly.Coefficients))
+	for i, c := range poly.Coefficients {
+		v, err := curves.NewScalarBaseMult(f.curve, c.Value)
+		if err != nil {
+			return nil, nil, err
+		}
+		verifiers[i] = v
+	}
+	return verifiers, shares, nil
+}
+
+func (f Feldman) Combine(shares ...*ShamirShare) ([]byte, error) {
+	field := curves.NewField(f.curve.Params().N)
+	shamir := Shamir{f.threshold, f.limit, field}
+	return shamir.Combine(shares...)
+}
+
+// Verify checks a share for validity
+func (f Feldman) Verify(share *ShamirShare, verifiers []*ShareVerifier) (bool, error) {
+	if len(verifiers) < int(f.threshold) {
+		return false, fmt.Errorf("not enough verifiers to check")
+	}
+	field := curves.NewField(f.curve.Params().N)
+
+	xBytes := make([]byte, 4)
+	binary.BigEndian.PutUint32(xBytes, share.Identifier)
+	x := field.ElementFromBytes(xBytes)
+
+	i := share.Value.Modulus.One()
+
+	// c_0
+	rhs := verifiers[0]
+
+	// Compute the sum of products
+	// c_0 * c_1^i * c_2^{i^2} * c_3^{i^3} ... c_t^{i_t}
+	for j := 1; j < len(verifiers); j++ {
+		// i *= x
+		i = i.Mul(x)
+
+		c, err := verifiers[j].ScalarMult(i.Value)
+		if err != nil {
+			return false, err
+		}
+
+		// ... * c_j^{i^j}
+		rhs, err = rhs.Add(c)
+		if err != nil {
+			return false, err
+		}
+	}
+
+	lhs, err := curves.NewScalarBaseMult(f.curve, share.Value.Value)
+	if err != nil {
+		return false, err
+	}
+
+	// Check if lhs == rhs
+	return lhs.Equals(rhs), nil
+}