Information on Result #707761
Linear OA(475, 1047, F4, 19) (dual of [1047, 972, 20]-code), using construction XX applied to C1 = C([329,345]), C2 = C([327,342]), C3 = C1 + C2 = C([329,342]), and C∩ = C1 ∩ C2 = C([327,345]) based on
- linear OA(461, 1023, F4, 17) (dual of [1023, 962, 18]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {329,330,…,345}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(461, 1023, F4, 16) (dual of [1023, 962, 17]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {327,328,…,342}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(471, 1023, F4, 19) (dual of [1023, 952, 20]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {327,328,…,345}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(451, 1023, F4, 14) (dual of [1023, 972, 15]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {329,330,…,342}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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(475, 523, F4, 2, 19) (dual of [(523, 2), 971, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(475, 349, F4, 3, 19) (dual of [(349, 3), 972, 20]-NRT-code) | [i] | ||