Information on Result #2700261
Linear OOA(8151, 2740, F8, 3, 36) (dual of [(2740, 3), 8069, 37]-NRT-code), using 81 times duplication based on linear OOA(8150, 2740, F8, 3, 36) (dual of [(2740, 3), 8070, 37]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8150, 8220, F8, 36) (dual of [8220, 8070, 37]-code), using
- trace code [i] based on linear OA(6475, 4110, F64, 36) (dual of [4110, 4035, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(30) [i] based on
- linear OA(6471, 4096, F64, 36) (dual of [4096, 4025, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(644, 14, F64, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- construction X applied to Ce(35) ⊂ Ce(30) [i] based on
- trace code [i] based on linear OA(6475, 4110, F64, 36) (dual of [4110, 4035, 37]-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.