Information on Result #692564
Linear OA(16130, 274, F16, 75) (dual of [274, 144, 76]-code), using construction X applied to C([0,37]) ⊂ C([0,34]) based on
- linear OA(16125, 257, F16, 75) (dual of [257, 132, 76]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,37], and minimum distance d ≥ |{−37,−36,…,37}|+1 = 76 (BCH-bound) [i]
- linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
- linear OA(165, 17, F16, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,16)), using
- extended Reed–Solomon code RSe(12,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(16130, 274, F16, 74) (dual of [274, 144, 75]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16129, 273, F16, 74) (dual of [273, 144, 75]-code) | [i] | Truncation | |
| 3 | Linear OOA(16130, 137, F16, 2, 75) (dual of [(137, 2), 144, 76]-NRT-code) | [i] | OOA Folding | |