Information on Result #2210642
Linear OA(5126, 146, F5, 75) (dual of [146, 20, 76]-code), using strength reduction based on linear OA(5126, 146, F5, 76) (dual of [146, 20, 77]-code), using
- construction XX applied to C1 = C([119,67]), C2 = C([1,72]), C3 = C1 + C2 = C([1,67]), and C∩ = C1 ∩ C2 = C([119,72]) [i] based on
- linear OA(5111, 124, F5, 73) (dual of [124, 13, 74]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,67}, and designed minimum distance d ≥ |I|+1 = 74 [i]
- linear OA(5110, 124, F5, 72) (dual of [124, 14, 73]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [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 = {−5,−4,…,72}, and designed minimum distance d ≥ |I|+1 = 79 [i]
- linear OA(5104, 124, F5, 67) (dual of [124, 20, 68]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(54, 11, F5, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,5)), using
- linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), using
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(5126, 73, F5, 2, 75) (dual of [(73, 2), 20, 76]-NRT-code) | [i] | OOA Folding | |