Information on Result #684988
Linear OA(728, 2412, F7, 8) (dual of [2412, 2384, 9]-code), using construction X applied to Ce(7) ⊂ Ce(4) based on
- linear OA(725, 2401, F7, 8) (dual of [2401, 2376, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(717, 2401, F7, 5) (dual of [2401, 2384, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(73, 11, F7, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), 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(728, 1206, F7, 2, 8) (dual of [(1206, 2), 2384, 9]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(728, 804, F7, 3, 8) (dual of [(804, 3), 2384, 9]-NRT-code) | [i] | ||
3 | Linear OOA(728, 603, F7, 8, 8) (dual of [(603, 8), 4796, 9]-NRT-code) | [i] | OA Folding and Stacking |