Information on Result #1837647
OOA(12871, 2818048, S128, 3, 16), using discarding parts of the base based on linear OOA(25662, 2818048, F256, 3, 16) (dual of [(2818048, 3), 8454082, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25616, 21847, F256, 3, 8) (dual of [(21847, 3), 65525, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25616, 65541, F256, 8) (dual of [65541, 65525, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [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(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- OOA 3-folding [i] based on linear OA(25616, 65541, F256, 8) (dual of [65541, 65525, 9]-code), using
- linear OOA(25646, 2796201, F256, 3, 16) (dual of [(2796201, 3), 8388557, 17]-NRT-code), using
- OOA 3-folding [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]
- OOA 3-folding [i] based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- linear OOA(25616, 21847, F256, 3, 8) (dual of [(21847, 3), 65525, 9]-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.