Information on Result #903161
Linear OOA(4946, 5764815, F49, 2, 8) (dual of [(5764815, 2), 11529584, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(4914, 2882405, F49, 2, 4) (dual of [(2882405, 2), 5764796, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4914, 5764810, F49, 4) (dual of [5764810, 5764796, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(495, 5764801, F49, 2) (dual of [5764801, 5764796, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(491, 9, F49, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- OOA 2-folding [i] based on linear OA(4914, 5764810, F49, 4) (dual of [5764810, 5764796, 5]-code), using
- linear OOA(4932, 2882410, F49, 2, 8) (dual of [(2882410, 2), 5764788, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4932, 5764820, F49, 8) (dual of [5764820, 5764788, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code) (see above)
- linear OA(493, 19, F49, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,49) or 19-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- OOA 2-folding [i] based on linear OA(4932, 5764820, F49, 8) (dual of [5764820, 5764788, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
None.