Information on Result #707579
Linear OA(457, 1050, F4, 14) (dual of [1050, 993, 15]-code), using construction XX applied to C1 = C([329,340]), C2 = C([333,342]), C3 = C1 + C2 = C([333,340]), and C∩ = C1 ∩ C2 = C([329,342]) based on
- linear OA(445, 1023, F4, 12) (dual of [1023, 978, 13]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {329,330,…,340}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(436, 1023, F4, 10) (dual of [1023, 987, 11]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {333,334,…,342}, and designed minimum distance d ≥ |I|+1 = 11 [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(430, 1023, F4, 8) (dual of [1023, 993, 9]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {333,334,…,340}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- 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
- linear OA(41, 7, F4, 1) (dual of [7, 6, 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(457, 525, F4, 2, 14) (dual of [(525, 2), 993, 15]-NRT-code) | [i] | OOA Folding | |