Information on Result #1022413
Linear OOA(6475, 5592482, F64, 3, 13) (dual of [(5592482, 3), 16777371, 14]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(645, 80, F64, 3, 4) (dual of [(80, 3), 235, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,235P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(6475, 2796240, F64, 15, 13) (dual of [(2796240, 15), 41943525, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |