Information on Result #1017739
Linear OOA(6461, 2883583, F64, 3, 12) (dual of [(2883583, 3), 8650688, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6416, 87382, F64, 3, 6) (dual of [(87382, 3), 262130, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6416, 262146, F64, 6) (dual of [262146, 262130, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(6416, 262147, F64, 6) (dual of [262147, 262131, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(6416, 262147, F64, 6) (dual of [262147, 262131, 7]-code), using
- OOA 3-folding [i] based on linear OA(6416, 262146, F64, 6) (dual of [262146, 262130, 7]-code), using
- linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(6482, 5679784, F64, 3, 12) (dual of [(5679784, 3), 17039270, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6485, 5679849, F64, 3, 12) (dual of [(5679849, 3), 17039462, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(6486, 5683881, F64, 3, 12) (dual of [(5683881, 3), 17051557, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(6487, 5688049, F64, 3, 12) (dual of [(5688049, 3), 17064060, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(6488, 5767166, F64, 3, 12) (dual of [(5767166, 3), 17301410, 13]-NRT-code) | [i] | ||