Information on Result #905816
Linear OOA(25657, 33284, F256, 2, 21) (dual of [(33284, 2), 66511, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25616, 515, F256, 2, 10) (dual of [(515, 2), 1014, 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(25611, 258, F256, 2, 10) (dual of [(258, 2), 505, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 11, 258)-net over F256, using
- 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(25641, 32769, F256, 2, 21) (dual of [(32769, 2), 65497, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25641, 65538, F256, 21) (dual of [65538, 65497, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(25641, 65538, F256, 21) (dual of [65538, 65497, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25657, 16642, F256, 4, 21) (dual of [(16642, 4), 66511, 22]-NRT-code) | [i] | OOA Folding | |