Information on Result #1837962
OOA(12873, 2101248, S128, 4, 17), using OOA 2-folding based on OOA(12873, 4202496, S128, 2, 17), using
- discarding factors based on OOA(12873, 4202497, S128, 2, 17), using
- (u, u+v)-construction [i] based on
- linear OOA(12817, 8196, F128, 2, 8) (dual of [(8196, 2), 16375, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12817, 16392, F128, 8) (dual of [16392, 16375, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [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(1289, 16384, F128, 5) (dual of [16384, 16375, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(12817, 16392, F128, 8) (dual of [16392, 16375, 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
- linear OOA(12817, 8196, F128, 2, 8) (dual of [(8196, 2), 16375, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
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.