Information on Result #707320
Linear OA(4176, 352, F4, 54) (dual of [352, 176, 55]-code), using construction XX applied to C1 = C([63,115]), C2 = C([62,113]), C3 = C1 + C2 = C([63,113]), and C∩ = C1 ∩ C2 = C([62,115]) based on
- linear OA(4170, 341, F4, 53) (dual of [341, 171, 54]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {63,64,…,115}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4170, 341, F4, 52) (dual of [341, 171, 53]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {62,63,…,113}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4175, 341, F4, 54) (dual of [341, 166, 55]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {62,63,…,115}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4165, 341, F4, 51) (dual of [341, 176, 52]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {63,64,…,113}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4176, 176, F4, 2, 54) (dual of [(176, 2), 176, 55]-NRT-code) | [i] | OOA Folding | |