Information on Result #1017982
Linear OOA(6464, 87486, F64, 3, 18) (dual of [(87486, 3), 262394, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6412, 104, F64, 3, 9) (dual of [(104, 3), 300, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,302P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(6452, 87382, F64, 3, 18) (dual of [(87382, 3), 262094, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6452, 262146, F64, 18) (dual of [262146, 262094, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using
- OOA 3-folding [i] based on linear OA(6452, 262146, F64, 18) (dual of [262146, 262094, 19]-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(6464, 29161, F64, 21, 18) (dual of [(29161, 21), 612317, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |