Information on Result #1018143
Linear OOA(6487, 87510, F64, 3, 24) (dual of [(87510, 3), 262443, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6417, 128, F64, 3, 12) (dual of [(128, 3), 367, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,371P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OOA(6470, 87382, F64, 3, 24) (dual of [(87382, 3), 262076, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6470, 262146, F64, 24) (dual of [262146, 262076, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code), using
- OOA 3-folding [i] based on linear OA(6470, 262146, F64, 24) (dual of [262146, 262076, 25]-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(6487, 21877, F64, 27, 24) (dual of [(21877, 27), 590592, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |