Information on Result #2220232
Linear OA(258, 272, F2, 14) (dual of [272, 214, 15]-code), using 1 times truncation based on linear OA(259, 273, F2, 15) (dual of [273, 214, 16]-code), using
- construction XX applied to C1 = C([253,10]), C2 = C([0,12]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([253,12]) [i] based on
- 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(249, 255, F2, 13) (dual of [255, 206, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(257, 255, F2, 15) (dual of [255, 198, 16]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,12}, and designed minimum distance d ≥ |I|+1 = 16 [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(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(258, 136, F2, 2, 14) (dual of [(136, 2), 214, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(258, 90, F2, 3, 14) (dual of [(90, 3), 212, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(258, 68, F2, 4, 14) (dual of [(68, 4), 214, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(258, 54, F2, 5, 14) (dual of [(54, 5), 212, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(258, 45, F2, 6, 14) (dual of [(45, 6), 212, 15]-NRT-code) | [i] | ||