Information on Result #694801
Linear OA(2769, 531445, F27, 18) (dual of [531445, 531376, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- linear OA(2769, 531441, F27, 18) (dual of [531441, 531372, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2765, 531441, F27, 17) (dual of [531441, 531376, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(2780, 531493, F27, 18) (dual of [531493, 531413, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2781, 531497, F27, 18) (dual of [531497, 531416, 19]-code) | [i] | ||
| 3 | Linear OA(2782, 531509, F27, 18) (dual of [531509, 531427, 19]-code) | [i] | ||
| 4 | Linear OA(2783, 531513, F27, 18) (dual of [531513, 531430, 19]-code) | [i] | ||
| 5 | Linear OA(2784, 531551, F27, 18) (dual of [531551, 531467, 19]-code) | [i] | ||
| 6 | Linear OA(2785, 531630, F27, 18) (dual of [531630, 531545, 19]-code) | [i] | ||
| 7 | OA(2781, 531527, S27, 18) | [i] | ||
| 8 | OA(2783, 531545, S27, 18) | [i] | ||
| 9 | OA(2784, 531561, S27, 18) | [i] | ||
| 10 | Linear OOA(2769, 265722, F27, 2, 18) (dual of [(265722, 2), 531375, 19]-NRT-code) | [i] | OOA Folding | |