Information on Result #2246682
Linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code), using 1 times truncation based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(568, 3135, F5, 15) (dual of [3135, 3067, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(569, 3138, F5, 15) (dual of [3138, 3069, 16]-code) | [i] | ||
| 3 | Linear OA(570, 3149, F5, 15) (dual of [3149, 3079, 16]-code) | [i] | ||
| 4 | Linear OOA(560, 2098, F5, 2, 15) (dual of [(2098, 2), 4136, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(560, 2098, F5, 3, 15) (dual of [(2098, 3), 6234, 16]-NRT-code) | [i] | ||
| 6 | Digital (45, 60, 2098)-net over F5 | [i] | ||
| 7 | Linear OA(563, 3140, F5, 15) (dual of [3140, 3077, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(564, 3165, F5, 15) (dual of [3165, 3101, 16]-code) | [i] | ||
| 9 | Linear OA(565, 3219, F5, 15) (dual of [3219, 3154, 16]-code) | [i] | ||
| 10 | Linear OA(566, 3328, F5, 15) (dual of [3328, 3262, 16]-code) | [i] | ||
| 11 | Linear OA(567, 3525, F5, 15) (dual of [3525, 3458, 16]-code) | [i] | ||
| 12 | Linear OA(568, 3832, F5, 15) (dual of [3832, 3764, 16]-code) | [i] | ||
| 13 | Linear OA(569, 4243, F5, 15) (dual of [4243, 4174, 16]-code) | [i] | ||
| 14 | Linear OA(570, 4738, F5, 15) (dual of [4738, 4668, 16]-code) | [i] | ||
| 15 | Linear OOA(560, 1562, F5, 2, 15) (dual of [(1562, 2), 3064, 16]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(560, 1041, F5, 3, 15) (dual of [(1041, 3), 3063, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(560, 446, F5, 15, 15) (dual of [(446, 15), 6630, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |