Information on Result #2700302
Linear OOA(8159, 2744, F8, 3, 37) (dual of [(2744, 3), 8073, 38]-NRT-code), using 81 times duplication based on linear OOA(8158, 2744, F8, 3, 37) (dual of [(2744, 3), 8074, 38]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8158, 8232, F8, 37) (dual of [8232, 8074, 38]-code), using
- trace code [i] based on linear OA(6479, 4116, F64, 37) (dual of [4116, 4037, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(29) [i] based on
- linear OA(6473, 4096, F64, 37) (dual of [4096, 4023, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(646, 20, F64, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- construction X applied to Ce(36) ⊂ Ce(29) [i] based on
- trace code [i] based on linear OA(6479, 4116, F64, 37) (dual of [4116, 4037, 38]-code), using
Mode: Constructive and 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.