Information on Result #709270
Linear OA(4235, 1084, F4, 58) (dual of [1084, 849, 59]-code), using construction XX applied to C1 = C([297,349]), C2 = C([292,342]), C3 = C1 + C2 = C([297,342]), and C∩ = C1 ∩ C2 = C([292,349]) based on
- linear OA(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,349}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,342}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,349}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(4171, 1023, F4, 46) (dual of [1023, 852, 47]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,342}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(412, 34, F4, 6) (dual of [34, 22, 7]-code), using
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- extended Reed–Solomon code RSe(11,16) [i]
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- 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
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(4235, 542, F4, 2, 58) (dual of [(542, 2), 849, 59]-NRT-code) | [i] | OOA Folding | |