Information on Result #723156
Linear OA(2519, 628, F25, 10) (dual of [628, 609, 11]-code), using construction XX applied to C1 = C([623,7]), C2 = C([0,8]), C3 = C1 + C2 = C([0,7]), and C∩ = C1 ∩ C2 = C([623,8]) based on
- linear OA(2517, 624, F25, 9) (dual of [624, 607, 10]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,7}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2517, 624, F25, 9) (dual of [624, 607, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2519, 624, F25, 10) (dual of [624, 605, 11]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,8}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2515, 624, F25, 8) (dual of [624, 609, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [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(538, 1256, F5, 10) (dual of [1256, 1218, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(2580, 16256, F25, 21) (dual of [16256, 16176, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25100, 391257, F25, 21) (dual of [391257, 391157, 22]-code) | [i] | ||
| 4 | Linear OA(2524, 654, F25, 10) (dual of [654, 630, 11]-code) | [i] | ||
| 5 | Linear OA(2525, 657, F25, 10) (dual of [657, 632, 11]-code) | [i] | ||
| 6 | Linear OA(2526, 1229, F25, 10) (dual of [1229, 1203, 11]-code) | [i] | ||
| 7 | Linear OA(2522, 652, F25, 10) (dual of [652, 630, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(2523, 728, F25, 10) (dual of [728, 705, 11]-code) | [i] | ||
| 9 | Linear OA(2524, 943, F25, 10) (dual of [943, 919, 11]-code) | [i] | ||
| 10 | Linear OA(2525, 1327, F25, 10) (dual of [1327, 1302, 11]-code) | [i] | ||
| 11 | Linear OOA(2519, 314, F25, 2, 10) (dual of [(314, 2), 609, 11]-NRT-code) | [i] | OOA Folding | |