Information on Result #710441
Linear OA(5119, 138, F5, 74) (dual of [138, 19, 75]-code), using construction XX applied to C1 = C([119,67]), C2 = C([0,68]), C3 = C1 + C2 = C([0,67]), and C∩ = C1 ∩ C2 = C([119,68]) 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(5108, 124, F5, 69) (dual of [124, 16, 70]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,68], and designed minimum distance d ≥ |I|+1 = 70 [i]
- 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 = {−5,−4,…,68}, 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(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
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(5119, 69, F5, 2, 74) (dual of [(69, 2), 19, 75]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5119, 46, F5, 3, 74) (dual of [(46, 3), 19, 75]-NRT-code) | [i] | ||