Information on Result #711485
Linear OA(581, 632, F5, 25) (dual of [632, 551, 26]-code), using construction XX applied to C1 = C([623,22]), C2 = C([0,23]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([623,23]) based on
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,23}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 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
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code) (see above)
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 OA(582, 640, F5, 25) (dual of [640, 558, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(583, 662, F5, 25) (dual of [662, 579, 26]-code) | [i] | ||
| 3 | Linear OOA(581, 316, F5, 2, 25) (dual of [(316, 2), 551, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(581, 210, F5, 3, 25) (dual of [(210, 3), 549, 26]-NRT-code) | [i] | ||