Information on Result #1837075
OOA(12877, 3495255, S128, 3, 16), using (u, u+v)-construction based on
- linear OOA(12824, 699054, F128, 3, 8) (dual of [(699054, 3), 2097138, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12824, 2097162, F128, 8) (dual of [2097162, 2097138, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(12824, 2097163, F128, 8) (dual of [2097163, 2097139, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(12813, 2097152, F128, 5) (dual of [2097152, 2097139, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(1282, 11, F128, 2) (dual of [11, 9, 3]-code or 11-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
- discarding factors / shortening the dual code based on linear OA(12824, 2097163, F128, 8) (dual of [2097163, 2097139, 9]-code), using
- OOA 3-folding [i] based on linear OA(12824, 2097162, F128, 8) (dual of [2097162, 2097138, 9]-code), using
- OOA(12853, 2796201, S128, 3, 16), using
- OOA 3-folding [i] based on OA(12853, large, S128, 16), using
- discarding parts of the base [i] based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding parts of the base [i] based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- OOA 3-folding [i] based on OA(12853, large, S128, 16), 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.