Information on Result #1564269
Linear OOA(6437, 1664, F64, 3, 18) (dual of [(1664, 3), 4955, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6437, 1664, F64, 2, 18) (dual of [(1664, 2), 3291, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6437, 2052, F64, 2, 18) (dual of [(2052, 2), 4067, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6437, 4104, F64, 18) (dual of [4104, 4067, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6429, 4096, F64, 15) (dual of [4096, 4067, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(642, 8, F64, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(6437, 4104, F64, 18) (dual of [4104, 4067, 19]-code), using
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(6437, 554, F64, 21, 18) (dual of [(554, 21), 11597, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |