Information on Result #1020150
Linear OOA(25667, 2839893, F256, 3, 16) (dual of [(2839893, 3), 8519612, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25621, 43692, F256, 3, 8) (dual of [(43692, 3), 131055, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2566, 32640, F256, 3, 4) (dual of [(32640, 3), 97914, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- 1 times truncation [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- linear OOA(25615, 21846, F256, 3, 8) (dual of [(21846, 3), 65523, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25615, 65538, F256, 8) (dual of [65538, 65523, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [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(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(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- OOA 3-folding [i] based on linear OA(25615, 65538, F256, 8) (dual of [65538, 65523, 9]-code), using
- linear OOA(2566, 32640, F256, 3, 4) (dual of [(32640, 3), 97914, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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
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.