Information on Result #709637
Linear OA(4247, 1054, F4, 64) (dual of [1054, 807, 65]-code), using construction XX applied to C1 = C([285,346]), C2 = C([283,342]), C3 = C1 + C2 = C([285,342]), and C∩ = C1 ∩ C2 = C([283,346]) based on
- linear OA(4231, 1023, F4, 62) (dual of [1023, 792, 63]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {285,286,…,346}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(4226, 1023, F4, 60) (dual of [1023, 797, 61]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {283,284,…,342}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4241, 1023, F4, 64) (dual of [1023, 782, 65]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {283,284,…,346}, and designed minimum distance d ≥ |I|+1 = 65 [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 = {285,286,…,342}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- linear OA(41, 11, F4, 1) (dual of [11, 10, 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
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(4247, 527, F4, 2, 64) (dual of [(527, 2), 807, 65]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4247, 351, F4, 3, 64) (dual of [(351, 3), 806, 65]-NRT-code) | [i] | ||