Information on Result #707286
Linear OA(4104, 354, F4, 30) (dual of [354, 250, 31]-code), using construction XX applied to C1 = C([313,0]), C2 = C([316,1]), C3 = C1 + C2 = C([316,0]), and C∩ = C1 ∩ C2 = C([313,1]) based on
- linear OA(496, 341, F4, 29) (dual of [341, 245, 30]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,0}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(496, 341, F4, 27) (dual of [341, 245, 28]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−25,−24,…,1}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(4101, 341, F4, 30) (dual of [341, 240, 31]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,1}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(491, 341, F4, 26) (dual of [341, 250, 27]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−25,−24,…,0}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(43, 8, F4, 2) (dual of [8, 5, 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
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(4104, 177, F4, 2, 30) (dual of [(177, 2), 250, 31]-NRT-code) | [i] | OOA Folding | |