Information on Result #703319
Linear OA(377, 253, F3, 23) (dual of [253, 176, 24]-code), using construction XX applied to C1 = C([100,121]), C2 = C([102,122]), C3 = C1 + C2 = C([102,121]), and C∩ = C1 ∩ C2 = C([100,122]) based on
- linear OA(371, 242, F3, 22) (dual of [242, 171, 23]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {100,101,…,121}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(371, 242, F3, 21) (dual of [242, 171, 22]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {102,103,…,122}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(376, 242, F3, 23) (dual of [242, 166, 24]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {100,101,…,122}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(366, 242, F3, 20) (dual of [242, 176, 21]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {102,103,…,121}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- 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
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(377, 126, F3, 2, 23) (dual of [(126, 2), 175, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(377, 84, F3, 3, 23) (dual of [(84, 3), 175, 24]-NRT-code) | [i] | ||