Information on Result #703488
Linear OA(3124, 280, F3, 36) (dual of [280, 156, 37]-code), using construction XX applied to C1 = C([236,25]), C2 = C([1,30]), C3 = C1 + C2 = C([1,25]), and C∩ = C1 ∩ C2 = C([236,30]) based on
- linear OA(3106, 242, F3, 32) (dual of [242, 136, 33]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−6,−5,…,25}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(390, 242, F3, 30) (dual of [242, 152, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3111, 242, F3, 37) (dual of [242, 131, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−6,−5,…,30}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(385, 242, F3, 25) (dual of [242, 157, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(35, 10, F3, 4) (dual of [10, 5, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), 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(3124, 140, F3, 2, 36) (dual of [(140, 2), 156, 37]-NRT-code) | [i] | OOA Folding | |