Information on Result #1565184
Linear OOA(6486, 1879, F64, 3, 42) (dual of [(1879, 3), 5551, 43]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6486, 1879, F64, 2, 42) (dual of [(1879, 2), 3672, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6486, 2053, F64, 2, 42) (dual of [(2053, 2), 4020, 43]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6486, 4106, F64, 42) (dual of [4106, 4020, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(6486, 4107, F64, 42) (dual of [4107, 4021, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(37) [i] based on
- linear OA(6483, 4096, F64, 42) (dual of [4096, 4013, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(6475, 4096, F64, 38) (dual of [4096, 4021, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(643, 11, F64, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,64) or 11-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- construction X applied to Ce(41) ⊂ Ce(37) [i] based on
- discarding factors / shortening the dual code based on linear OA(6486, 4107, F64, 42) (dual of [4107, 4021, 43]-code), using
- OOA 2-folding [i] based on linear OA(6486, 4106, F64, 42) (dual of [4106, 4020, 43]-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.