Information on Result #689647
Linear OA(9103, 6585, F9, 27) (dual of [6585, 6482, 28]-code), using construction XX applied to C([0,13]) ⊂ C([0,11]) ⊂ C([0,10]) based on
- linear OA(997, 6562, F9, 27) (dual of [6562, 6465, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(981, 6562, F9, 23) (dual of [6562, 6481, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(973, 6562, F9, 21) (dual of [6562, 6489, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(94, 21, F9, 3) (dual of [21, 17, 4]-code or 21-cap in PG(3,9)), using
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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(9103, 2195, F9, 3, 27) (dual of [(2195, 3), 6482, 28]-NRT-code) | [i] | OOA Folding | |