Information on Result #2246882
Linear OA(5129, 151, F5, 75) (dual of [151, 22, 76]-code), using 1 times truncation based on linear OA(5130, 152, F5, 76) (dual of [152, 22, 77]-code), using
- construction XX applied to C1 = C([114,63]), C2 = C([0,67]), C3 = C1 + C2 = C([0,63]), and C∩ = C1 ∩ C2 = C([114,67]) [i] based on
- linear OA(5114, 124, F5, 74) (dual of [124, 10, 75]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,63}, and designed minimum distance d ≥ |I|+1 = 75 [i]
- linear OA(5105, 124, F5, 68) (dual of [124, 19, 69]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,67], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(5117, 124, F5, 78) (dual of [124, 7, 79]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,67}, and designed minimum distance d ≥ |I|+1 = 79 [i]
- linear OA(5102, 124, F5, 64) (dual of [124, 22, 65]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,63], and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(510, 22, F5, 7) (dual of [22, 12, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [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(5129, 75, F5, 2, 75) (dual of [(75, 2), 21, 76]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5129, 50, F5, 3, 75) (dual of [(50, 3), 21, 76]-NRT-code) | [i] | ||