Information on Result #707304
Linear OA(4118, 351, F4, 35) (dual of [351, 233, 36]-code), using construction XX applied to C1 = C([313,5]), C2 = C([312,2]), C3 = C1 + C2 = C([313,2]), and C∩ = C1 ∩ C2 = C([312,5]) based on
- linear OA(4111, 341, F4, 34) (dual of [341, 230, 35]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,5}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4111, 341, F4, 32) (dual of [341, 230, 33]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−29,−28,…,2}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4116, 341, F4, 35) (dual of [341, 225, 36]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−29,−28,…,5}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(4106, 341, F4, 31) (dual of [341, 235, 32]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,2}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- 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(4118, 175, F4, 2, 35) (dual of [(175, 2), 232, 36]-NRT-code) | [i] | OOA Folding | |