Information on Result #1832517
OOA(12872, 4202495, S128, 2, 17), using (u, u+v)-construction based on
- linear OOA(12816, 8194, F128, 2, 8) (dual of [(8194, 2), 16372, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12816, 16388, F128, 8) (dual of [16388, 16372, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(12816, 16389, F128, 8) (dual of [16389, 16373, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(12816, 16389, F128, 8) (dual of [16389, 16373, 9]-code), using
- OOA 2-folding [i] based on linear OA(12816, 16388, F128, 8) (dual of [16388, 16372, 9]-code), using
- OOA(12856, 4194301, S128, 2, 17), using
- OOA 2-folding [i] based on OA(12856, 8388602, S128, 17), using
- discarding factors based on OA(12856, large, S128, 17), using
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- discarding factors based on OA(12856, large, S128, 17), using
- OOA 2-folding [i] based on OA(12856, 8388602, S128, 17), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.