Information on Result #708753
Linear OA(4176, 1064, F4, 44) (dual of [1064, 888, 45]-code), using construction XX applied to C1 = C([300,340]), C2 = C([305,343]), C3 = C1 + C2 = C([305,340]), and C∩ = C1 ∩ C2 = C([300,343]) based on
- linear OA(4155, 1023, F4, 41) (dual of [1023, 868, 42]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {300,301,…,340}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,343}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(4166, 1023, F4, 44) (dual of [1023, 857, 45]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {300,301,…,343}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4135, 1023, F4, 36) (dual of [1023, 888, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,340}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(43, 14, F4, 2) (dual of [14, 11, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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(4176, 532, F4, 2, 44) (dual of [(532, 2), 888, 45]-NRT-code) | [i] | OOA Folding | |