Information on Result #2516423
Linear OOA(1695, 65544, F16, 2, 23) (dual of [(65544, 2), 130993, 24]-NRT-code), using 161 times duplication based on linear OOA(1694, 65544, F16, 2, 23) (dual of [(65544, 2), 130994, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1694, 131088, F16, 23) (dual of [131088, 130994, 24]-code), using
- trace code [i] based on linear OA(25647, 65544, F256, 23) (dual of [65544, 65497, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- trace code [i] based on linear OA(25647, 65544, F256, 23) (dual of [65544, 65497, 24]-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.