Information on Result #905822
Linear OOA(25657, 33285, F256, 2, 21) (dual of [(33285, 2), 66513, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25615, 514, F256, 2, 10) (dual of [(514, 2), 1013, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2565, 257, F256, 2, 5) (dual of [(257, 2), 509, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;509,256) [i]
- linear OOA(25610, 257, F256, 2, 10) (dual of [(257, 2), 504, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;504,256) [i]
- linear OOA(2565, 257, F256, 2, 5) (dual of [(257, 2), 509, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25642, 32771, F256, 2, 21) (dual of [(32771, 2), 65500, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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 C([0,10]) ⊂ C([0,9]) [i] based on
- OOA 2-folding [i] based on linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.