Information on Result #2220002
Linear OA(250, 272, F2, 12) (dual of [272, 222, 13]-code), using 1 times truncation based on linear OA(251, 273, F2, 13) (dual of [273, 222, 14]-code), using
- construction XX applied to C1 = C([253,8]), C2 = C([0,10]), C3 = C1 + C2 = C([0,8]), and C∩ = C1 ∩ C2 = C([253,10]) [i] based on
- linear OA(241, 255, F2, 11) (dual of [255, 214, 12]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,8}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(241, 255, F2, 11) (dual of [255, 214, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(249, 255, F2, 13) (dual of [255, 206, 14]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,10}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(233, 255, F2, 9) (dual of [255, 222, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [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(250, 136, F2, 2, 12) (dual of [(136, 2), 222, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(250, 90, F2, 3, 12) (dual of [(90, 3), 220, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(250, 68, F2, 4, 12) (dual of [(68, 4), 222, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(250, 54, F2, 5, 12) (dual of [(54, 5), 220, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(250, 45, F2, 6, 12) (dual of [(45, 6), 220, 13]-NRT-code) | [i] | ||