Information on Result #905843
Linear OOA(25661, 33286, F256, 2, 22) (dual of [(33286, 2), 66511, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25616, 514, F256, 2, 11) (dual of [(514, 2), 1012, 12]-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(25611, 257, F256, 2, 11) (dual of [(257, 2), 503, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;503,256) [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(25645, 32772, F256, 2, 22) (dual of [(32772, 2), 65499, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25645, 65544, F256, 22) (dual of [65544, 65499, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(21) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(25645, 65544, F256, 22) (dual of [65544, 65499, 23]-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(25661, 16643, F256, 4, 22) (dual of [(16643, 4), 66511, 23]-NRT-code) | [i] | OOA Folding | |