Information on Result #709599
Linear OA(4254, 1071, F4, 64) (dual of [1071, 817, 65]-code), using construction XX applied to C1 = C([1018,53]), C2 = C([0,58]), C3 = C1 + C2 = C([0,53]), and C∩ = C1 ∩ C2 = C([1018,58]) based on
- linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,53}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,58], and designed minimum distance d ≥ |I|+1 = 60 [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 = {−5,−4,…,58}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,53], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), 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(4254, 357, F4, 3, 64) (dual of [(357, 3), 817, 65]-NRT-code) | [i] | OOA Folding | |