Information on Result #1197664
Digital (62, 74, 1401382)-net over F27, using net defined by OOA based on linear OOA(2774, 1401382, F27, 14, 12) (dual of [(1401382, 14), 19619274, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2774, 4204147, F27, 2, 12) (dual of [(4204147, 2), 8408220, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2774, 4204148, F27, 2, 12) (dual of [(4204148, 2), 8408222, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2718, 9847, F27, 2, 6) (dual of [(9847, 2), 19676, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2718, 19694, F27, 6) (dual of [19694, 19676, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- linear OA(2716, 19683, F27, 6) (dual of [19683, 19667, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(277, 19683, F27, 3) (dual of [19683, 19676, 4]-code or 19683-cap in PG(6,27)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(272, 11, F27, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- OOA 2-folding [i] based on linear OA(2718, 19694, F27, 6) (dual of [19694, 19676, 7]-code), using
- linear OOA(2756, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- linear OOA(2718, 9847, F27, 2, 6) (dual of [(9847, 2), 19676, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2774, 4204148, F27, 2, 12) (dual of [(4204148, 2), 8408222, 13]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.