Information on Result #1564755
Linear OOA(6468, 2745, F64, 3, 31) (dual of [(2745, 3), 8167, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6468, 2745, F64, 31) (dual of [2745, 2677, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(6468, 4120, F64, 31) (dual of [4120, 4052, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,11]) [i] based on
- linear OA(6461, 4097, F64, 31) (dual of [4097, 4036, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(6445, 4097, F64, 23) (dual of [4097, 4052, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(647, 23, F64, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,64)), using
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- Reed–Solomon code RS(57,64) [i]
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- construction X applied to C([0,15]) ⊂ C([0,11]) [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(6468, 548, F64, 33, 31) (dual of [(548, 33), 18016, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |