Information on Result #719108
Linear OA(931, 734, F9, 12) (dual of [734, 703, 13]-code), using construction XX applied to C1 = C([727,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([727,10]) based on
- linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(925, 728, F9, 10) (dual of [728, 703, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code) (see above)
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 OA(933, 740, F9, 12) (dual of [740, 707, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(934, 753, F9, 12) (dual of [753, 719, 13]-code) | [i] | ||
| 3 | Linear OA(935, 787, F9, 12) (dual of [787, 752, 13]-code) | [i] | ||
| 4 | Linear OA(936, 868, F9, 12) (dual of [868, 832, 13]-code) | [i] | ||
| 5 | Linear OA(937, 1014, F9, 12) (dual of [1014, 977, 13]-code) | [i] | ||
| 6 | Linear OA(938, 1223, F9, 12) (dual of [1223, 1185, 13]-code) | [i] | ||
| 7 | Linear OA(939, 1489, F9, 12) (dual of [1489, 1450, 13]-code) | [i] | ||
| 8 | Linear OOA(931, 367, F9, 2, 12) (dual of [(367, 2), 703, 13]-NRT-code) | [i] | OOA Folding | |