Information on Result #703502
Linear OA(3101, 252, F3, 33) (dual of [252, 151, 34]-code), using construction XX applied to C1 = C([241,30]), C2 = C([0,31]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([241,31]) based on
- linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3101, 242, F3, 33) (dual of [242, 141, 34]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−1,0,…,31}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(30, 5, F3, 0) (dual of [5, 5, 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(3105, 260, F3, 33) (dual of [260, 155, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3106, 265, F3, 33) (dual of [265, 159, 34]-code) | [i] | ||
| 3 | Linear OA(3107, 271, F3, 33) (dual of [271, 164, 34]-code) | [i] | ||
| 4 | Linear OA(3108, 278, F3, 33) (dual of [278, 170, 34]-code) | [i] | ||
| 5 | Linear OA(3104, 257, F3, 33) (dual of [257, 153, 34]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(3105, 259, F3, 33) (dual of [259, 154, 34]-code) | [i] | ||
| 7 | Linear OA(3106, 261, F3, 33) (dual of [261, 155, 34]-code) | [i] | ||
| 8 | Linear OOA(3101, 126, F3, 2, 33) (dual of [(126, 2), 151, 34]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3101, 84, F3, 3, 33) (dual of [(84, 3), 151, 34]-NRT-code) | [i] | ||