Information on Result #731914
Linear OA(9150, 59138, F9, 29) (dual of [59138, 58988, 30]-code), using (u, u+v)-construction based on
- linear OA(924, 84, F9, 14) (dual of [84, 60, 15]-code), using
- construction XX applied to C1 = C([79,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([79,12]) [i] based on
- linear OA(922, 80, F9, 13) (dual of [80, 58, 14]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(922, 80, F9, 13) (dual of [80, 58, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(924, 80, F9, 14) (dual of [80, 56, 15]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(920, 80, F9, 12) (dual of [80, 60, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 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, 2, F9, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([79,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([79,12]) [i] based on
- linear OA(9126, 59054, F9, 29) (dual of [59054, 58928, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 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 (see above)
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
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(9150, 29569, F9, 2, 29) (dual of [(29569, 2), 58988, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9150, 19712, F9, 3, 29) (dual of [(19712, 3), 58986, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(9150, 4224, F9, 29, 29) (dual of [(4224, 29), 122346, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |