Information on Result #723665
Linear OA(2541, 628, F25, 21) (dual of [628, 587, 22]-code), using construction XX applied to C1 = C([623,18]), C2 = C([0,19]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([623,19]) based on
- linear OA(2539, 624, F25, 20) (dual of [624, 585, 21]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2539, 624, F25, 20) (dual of [624, 585, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2541, 624, F25, 21) (dual of [624, 583, 22]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2537, 624, F25, 19) (dual of [624, 587, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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(2554, 680, F25, 21) (dual of [680, 626, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2555, 694, F25, 21) (dual of [694, 639, 22]-code) | [i] | ||
| 3 | Linear OA(2556, 696, F25, 21) (dual of [696, 640, 22]-code) | [i] | ||
| 4 | Linear OA(2557, 698, F25, 21) (dual of [698, 641, 22]-code) | [i] | ||
| 5 | Linear OA(2558, 734, F25, 21) (dual of [734, 676, 22]-code) | [i] | ||
| 6 | Linear OA(2559, 838, F25, 21) (dual of [838, 779, 22]-code) | [i] | ||
| 7 | Linear OA(2546, 660, F25, 21) (dual of [660, 614, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(2547, 708, F25, 21) (dual of [708, 661, 22]-code) | [i] | ||
| 9 | Linear OA(2548, 801, F25, 21) (dual of [801, 753, 22]-code) | [i] | ||
| 10 | Linear OOA(2541, 314, F25, 2, 21) (dual of [(314, 2), 587, 22]-NRT-code) | [i] | OOA Folding | |