Information on Result #903584
Linear OOA(6422, 2129, F64, 2, 9) (dual of [(2129, 2), 4236, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(645, 80, F64, 2, 4) (dual of [(80, 2), 155, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,155P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6417, 2049, F64, 2, 9) (dual of [(2049, 2), 4081, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-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(6491, 4196430, F64, 2, 18) (dual of [(4196430, 2), 8392769, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6422, 1064, F64, 10, 9) (dual of [(1064, 10), 10618, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |