Information on Result #1138039
Linear OOA(25667, 1409025, F256, 6, 17) (dual of [(1409025, 6), 8454083, 18]-NRT-code), using OOA 2-folding based on linear OOA(25667, 2818050, F256, 3, 17) (dual of [(2818050, 3), 8454083, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25618, 21849, F256, 3, 8) (dual of [(21849, 3), 65529, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25618, 65547, F256, 8) (dual of [65547, 65529, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- OOA 3-folding [i] based on linear OA(25618, 65547, F256, 8) (dual of [65547, 65529, 9]-code), using
- linear OOA(25649, 2796201, F256, 3, 17) (dual of [(2796201, 3), 8388554, 18]-NRT-code), using
- OOA 3-folding [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]
- OOA 3-folding [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- linear OOA(25618, 21849, F256, 3, 8) (dual of [(21849, 3), 65529, 9]-NRT-code), using
Mode: Constructive and linear.
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.