Information on Result #896324
Linear OOA(747, 8419, F7, 2, 10) (dual of [(8419, 2), 16791, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(76, 13, F7, 2, 5) (dual of [(13, 2), 20, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 6, 13)-net over F7, using
- 7 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 6, 13)-net over F7, using
- linear OOA(741, 8406, F7, 2, 10) (dual of [(8406, 2), 16771, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(741, 16812, F7, 10) (dual of [16812, 16771, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(741, 16807, F7, 10) (dual of [16807, 16766, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- OOA 2-folding [i] based on linear OA(741, 16812, F7, 10) (dual of [16812, 16771, 11]-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
None.