Information on Result #903880
Linear OOA(6471, 131177, F64, 2, 20) (dual of [(131177, 2), 262283, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6413, 104, F64, 2, 10) (dual of [(104, 2), 195, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,197P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(6458, 131073, F64, 2, 20) (dual of [(131073, 2), 262088, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6458, 262146, F64, 20) (dual of [262146, 262088, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6458, 262147, F64, 20) (dual of [262147, 262089, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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(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(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(6458, 262147, F64, 20) (dual of [262147, 262089, 21]-code), using
- OOA 2-folding [i] based on linear OA(6458, 262146, F64, 20) (dual of [262146, 262088, 21]-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(6471, 26235, F64, 22, 20) (dual of [(26235, 22), 577099, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |