Information on Result #903907
Linear OOA(6473, 131156, F64, 2, 21) (dual of [(131156, 2), 262239, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6411, 80, F64, 2, 10) (dual of [(80, 2), 149, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,149P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6462, 131076, F64, 2, 21) (dual of [(131076, 2), 262090, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6462, 262152, F64, 21) (dual of [262152, 262090, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(6461, 262145, F64, 21) (dual of [262145, 262084, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6455, 262145, F64, 19) (dual of [262145, 262090, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- OOA 2-folding [i] based on linear OA(6462, 262152, F64, 21) (dual of [262152, 262090, 22]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(6473, 26231, F64, 22, 21) (dual of [(26231, 22), 577009, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |