Information on Result #1017724
Linear OOA(6431, 1447, F64, 3, 12) (dual of [(1447, 3), 4310, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(647, 80, F64, 3, 6) (dual of [(80, 3), 233, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,233P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6424, 1367, F64, 3, 12) (dual of [(1367, 3), 4077, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6424, 4101, F64, 12) (dual of [4101, 4077, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(6423, 4096, F64, 12) (dual of [4096, 4073, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 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 Ce(11) ⊂ Ce(9) [i] based on
- OOA 3-folding [i] based on linear OA(6424, 4101, F64, 12) (dual of [4101, 4077, 13]-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(6431, 723, F64, 15, 12) (dual of [(723, 15), 10814, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |