Information on Result #709121
Linear OA(4207, 1064, F4, 53) (dual of [1064, 857, 54]-code), using construction XX applied to C1 = C([1019,44]), C2 = C([1,48]), C3 = C1 + C2 = C([1,44]), and C∩ = C1 ∩ C2 = C([1019,48]) based on
- linear OA(4181, 1023, F4, 49) (dual of [1023, 842, 50]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,44}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(4180, 1023, F4, 48) (dual of [1023, 843, 49]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- 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 = {−4,−3,…,48}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4165, 1023, F4, 44) (dual of [1023, 858, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- 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
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(4207, 532, F4, 2, 53) (dual of [(532, 2), 857, 54]-NRT-code) | [i] | OOA Folding | |