Information on Result #2509675
Linear OOA(8127, 4098, F8, 2, 32) (dual of [(4098, 2), 8069, 33]-NRT-code), using 81 times duplication based on linear OOA(8126, 4098, F8, 2, 32) (dual of [(4098, 2), 8070, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8126, 8196, F8, 32) (dual of [8196, 8070, 33]-code), using
- trace code [i] based on linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- trace code [i] based on linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-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.