Information on Result #709662
Linear OA(4242, 1039, F4, 64) (dual of [1039, 797, 65]-code), using construction XX applied to C1 = C([1021,60]), C2 = C([0,61]), C3 = C1 + C2 = C([0,60]), and C∩ = C1 ∩ C2 = C([1021,61]) based on
- linear OA(4236, 1023, F4, 63) (dual of [1023, 787, 64]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−2,−1,…,60}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(4231, 1023, F4, 62) (dual of [1023, 792, 63]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,61], and designed minimum distance d ≥ |I|+1 = 63 [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 = {−2,−1,…,61}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(4226, 1023, F4, 61) (dual of [1023, 797, 62]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,60], and designed minimum distance d ≥ |I|+1 = 62 [i]
- 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
- 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(4242, 519, F4, 2, 64) (dual of [(519, 2), 796, 65]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4242, 346, F4, 3, 64) (dual of [(346, 3), 796, 65]-NRT-code) | [i] | ||