Information on Result #1564841
Linear OOA(6472, 3584, F64, 3, 32) (dual of [(3584, 3), 10680, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6472, 3584, F64, 32) (dual of [3584, 3512, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(6472, 4125, F64, 32) (dual of [4125, 4053, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(21) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(649, 29, F64, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- construction X applied to Ce(31) ⊂ Ce(21) [i] based on
Mode: 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(6472, 597, F64, 39, 32) (dual of [(597, 39), 23211, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |