Information on Result #2222088
Linear OA(2102, 272, F2, 26) (dual of [272, 170, 27]-code), using 1 times truncation based on linear OA(2103, 273, F2, 27) (dual of [273, 170, 28]-code), using
- construction XX applied to C1 = C([253,22]), C2 = C([0,24]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([253,24]) [i] based on
- linear OA(293, 255, F2, 25) (dual of [255, 162, 26]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,22}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(293, 255, F2, 25) (dual of [255, 162, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2101, 255, F2, 27) (dual of [255, 154, 28]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,24}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(285, 255, F2, 23) (dual of [255, 170, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(21, 9, F2, 1) (dual of [9, 8, 2]-code) (see above)
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(2102, 136, F2, 2, 26) (dual of [(136, 2), 170, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2102, 90, F2, 3, 26) (dual of [(90, 3), 168, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2102, 68, F2, 4, 26) (dual of [(68, 4), 170, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2102, 54, F2, 5, 26) (dual of [(54, 5), 168, 27]-NRT-code) | [i] | ||