Information on Result #710862
Linear OA(549, 654, F5, 13) (dual of [654, 605, 14]-code), using construction XX applied to C1 = C([619,5]), C2 = C([1,7]), C3 = C1 + C2 = C([1,5]), and C∩ = C1 ∩ C2 = C([619,7]) based on
- linear OA(533, 624, F5, 11) (dual of [624, 591, 12]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,5}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(524, 624, F5, 7) (dual of [624, 600, 8]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,7}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(516, 624, F5, 5) (dual of [624, 608, 6]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(549, 218, F5, 3, 13) (dual of [(218, 3), 605, 14]-NRT-code) | [i] | OOA Folding | |