Information on Result #1015906
Linear OOA(948, 1594537, F9, 3, 7) (dual of [(1594537, 3), 4783563, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(95, 212, F9, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
- linear OOA(943, 1594325, F9, 3, 7) (dual of [(1594325, 3), 4782932, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(943, 4782975, F9, 7) (dual of [4782975, 4782932, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(943, 4782976, F9, 7) (dual of [4782976, 4782933, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 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
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(943, 4782976, F9, 7) (dual of [4782976, 4782933, 8]-code), using
- OOA 3-folding [i] based on linear OA(943, 4782975, F9, 7) (dual of [4782975, 4782932, 8]-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(948, 1594536, F9, 9, 7) (dual of [(1594536, 9), 14350776, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |