Information on Result #1018018
Linear OOA(6470, 87542, F64, 3, 19) (dual of [(87542, 3), 262556, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6415, 160, F64, 3, 9) (dual of [(160, 3), 465, 10]-NRT-code), using
- (u, u+v)-construction [i] 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(6410, 80, F64, 3, 9) (dual of [(80, 3), 230, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,230P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (see above)
- linear OOA(645, 80, F64, 3, 4) (dual of [(80, 3), 235, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6455, 87382, F64, 3, 19) (dual of [(87382, 3), 262091, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6455, 262146, F64, 19) (dual of [262146, 262091, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6455, 262147, F64, 19) (dual of [262147, 262092, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(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(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(6455, 262147, F64, 19) (dual of [262147, 262092, 20]-code), using
- OOA 3-folding [i] based on linear OA(6455, 262146, F64, 19) (dual of [262146, 262091, 20]-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(6470, 29180, F64, 21, 19) (dual of [(29180, 21), 612710, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |