Information on Result #1837634
OOA(12867, 2818049, S128, 3, 15), using discarding parts of the base based on linear OOA(25658, 2818049, F256, 3, 15) (dual of [(2818049, 3), 8454089, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25615, 21848, F256, 3, 7) (dual of [(21848, 3), 65529, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25615, 65544, F256, 7) (dual of [65544, 65529, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(6) ⊂ Ce(3) [i] based on
- OOA 3-folding [i] based on linear OA(25615, 65544, F256, 7) (dual of [65544, 65529, 8]-code), using
- linear OOA(25643, 2796201, F256, 3, 15) (dual of [(2796201, 3), 8388560, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- linear OOA(25615, 21848, F256, 3, 7) (dual of [(21848, 3), 65529, 8]-NRT-code), 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.