Information on Result #1565267
Linear OOA(6489, 1723, F64, 3, 44) (dual of [(1723, 3), 5080, 45]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6489, 1723, F64, 2, 44) (dual of [(1723, 2), 3357, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6489, 2052, F64, 2, 44) (dual of [(2052, 2), 4015, 45]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6489, 4104, F64, 44) (dual of [4104, 4015, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(40) [i] based on
- linear OA(6487, 4096, F64, 44) (dual of [4096, 4009, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(6481, 4096, F64, 41) (dual of [4096, 4015, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(43) ⊂ Ce(40) [i] based on
- OOA 2-folding [i] based on linear OA(6489, 4104, F64, 44) (dual of [4104, 4015, 45]-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
None.