Information on Result #709688
Linear OA(4260, 1051, F4, 71) (dual of [1051, 791, 72]-code), using construction XX applied to C1 = C([273,341]), C2 = C([280,343]), C3 = C1 + C2 = C([280,341]), and C∩ = C1 ∩ C2 = C([273,343]) based on
- linear OA(4241, 1023, F4, 69) (dual of [1023, 782, 70]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,341}, and designed minimum distance d ≥ |I|+1 = 70 [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 = {280,281,…,343}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(4251, 1023, F4, 71) (dual of [1023, 772, 72]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,343}, and designed minimum distance d ≥ |I|+1 = 72 [i]
- 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 = {280,281,…,341}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(48, 17, F4, 6) (dual of [17, 9, 7]-code), 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(4260, 525, F4, 2, 71) (dual of [(525, 2), 790, 72]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4260, 350, F4, 3, 71) (dual of [(350, 3), 790, 72]-NRT-code) | [i] | ||