Information on Result #689833
Linear OA(9134, 6583, F9, 36) (dual of [6583, 6449, 37]-code), using construction XX applied to Ce(36) ⊂ Ce(31) ⊂ Ce(30) based on
- linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9113, 6561, F9, 32) (dual of [6561, 6448, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(9109, 6561, F9, 31) (dual of [6561, 6452, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(94, 21, F9, 3) (dual of [21, 17, 4]-code or 21-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(9134, 3291, F9, 2, 36) (dual of [(3291, 2), 6448, 37]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9134, 2194, F9, 3, 36) (dual of [(2194, 3), 6448, 37]-NRT-code) | [i] | ||