Information on Result #627370
Linear OA(2781, 84, F27, 77) (dual of [84, 3, 78]-code), using repeating each code word 3 times based on linear OA(2725, 28, F27, 25) (dual of [28, 3, 26]-code or 28-arc in PG(24,27)), using
- extended Reed–Solomon code RSe(3,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [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 OA(2781, 84, F27, 76) (dual of [84, 3, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2780, 83, F27, 76) (dual of [83, 3, 77]-code) | [i] | Truncation | |
| 3 | Linear OA(2779, 82, F27, 75) (dual of [82, 3, 76]-code) | [i] | ||
| 4 | Linear OA(2777, 80, F27, 73) (dual of [80, 3, 74]-code) | [i] | ||
| 5 | Linear OA(2776, 79, F27, 72) (dual of [79, 3, 73]-code) | [i] | ||
| 6 | Linear OA(2774, 77, F27, 70) (dual of [77, 3, 71]-code) | [i] | ||
| 7 | Linear OA(2773, 76, F27, 69) (dual of [76, 3, 70]-code) | [i] | ||
| 8 | Linear OA(2771, 74, F27, 67) (dual of [74, 3, 68]-code) | [i] | ||
| 9 | Linear OA(2770, 73, F27, 66) (dual of [73, 3, 67]-code) | [i] | ||
| 10 | Linear OA(2768, 71, F27, 64) (dual of [71, 3, 65]-code) | [i] | ||
| 11 | Linear OA(2767, 70, F27, 63) (dual of [70, 3, 64]-code) | [i] | ||
| 12 | Linear OA(2765, 68, F27, 61) (dual of [68, 3, 62]-code) | [i] | ||
| 13 | Linear OA(2764, 67, F27, 60) (dual of [67, 3, 61]-code) | [i] | ||
| 14 | Linear OOA(2781, 42, F27, 2, 77) (dual of [(42, 2), 3, 78]-NRT-code) | [i] | OOA Folding | |