Information on Result #905751
Linear OOA(25650, 33286, F256, 2, 18) (dual of [(33286, 2), 66522, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25613, 514, F256, 2, 9) (dual of [(514, 2), 1015, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 2, 4) (dual of [(257, 2), 510, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;510,256) [i]
- linear OOA(2569, 257, F256, 2, 9) (dual of [(257, 2), 505, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;505,256) [i]
- linear OOA(2564, 257, F256, 2, 4) (dual of [(257, 2), 510, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25637, 32772, F256, 2, 18) (dual of [(32772, 2), 65507, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25637, 65544, F256, 18) (dual of [65544, 65507, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(25637, 65544, F256, 18) (dual of [65544, 65507, 19]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25650, 16643, F256, 4, 18) (dual of [(16643, 4), 66522, 19]-NRT-code) | [i] | OOA Folding | |