Information on Result #711231
Linear OA(582, 657, F5, 23) (dual of [657, 575, 24]-code), using construction XX applied to C1 = C([619,15]), C2 = C([1,17]), C3 = C1 + C2 = C([1,15]), and C∩ = C1 ∩ C2 = C([619,17]) based on
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,15}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(556, 624, F5, 17) (dual of [624, 568, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,17}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(548, 624, F5, 15) (dual of [624, 576, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(58, 24, F5, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 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(582, 219, F5, 3, 23) (dual of [(219, 3), 575, 24]-NRT-code) | [i] | OOA Folding | |