Information on Result #689827
Linear OA(9146, 6592, F9, 39) (dual of [6592, 6446, 40]-code), using construction XX applied to Ce(38) ⊂ Ce(32) ⊂ Ce(31) based on
- linear OA(9137, 6561, F9, 39) (dual of [6561, 6424, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(9117, 6561, F9, 33) (dual of [6561, 6444, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(97, 29, F9, 5) (dual of [29, 22, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- 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
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(9146, 3296, F9, 2, 39) (dual of [(3296, 2), 6446, 40]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9146, 2197, F9, 3, 39) (dual of [(2197, 3), 6445, 40]-NRT-code) | [i] | ||