Information on Result #877113
Linear OOA(8155, 3281, F81, 2, 28) (dual of [(3281, 2), 6507, 29]-NRT-code), using OOA 2-folding based on linear OA(8155, 6562, F81, 28) (dual of [6562, 6507, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8155, 6563, F81, 28) (dual of [6563, 6508, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8153, 6561, F81, 27) (dual of [6561, 6508, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
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(8169, 3363, F81, 2, 28) (dual of [(3363, 2), 6657, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8170, 3381, F81, 2, 28) (dual of [(3381, 2), 6692, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(8171, 3397, F81, 2, 28) (dual of [(3397, 2), 6723, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(8173, 3431, F81, 2, 28) (dual of [(3431, 2), 6789, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(8174, 3441, F81, 2, 28) (dual of [(3441, 2), 6808, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(8176, 3453, F81, 2, 28) (dual of [(3453, 2), 6830, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(8177, 3463, F81, 2, 28) (dual of [(3463, 2), 6849, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(8178, 3481, F81, 2, 28) (dual of [(3481, 2), 6884, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(8179, 3497, F81, 2, 28) (dual of [(3497, 2), 6915, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(8180, 3513, F81, 2, 28) (dual of [(3513, 2), 6946, 29]-NRT-code) | [i] | ||
| 11 | Linear OOA(8180, 3527, F81, 2, 28) (dual of [(3527, 2), 6974, 29]-NRT-code) | [i] | ||