Information on Result #1117344
Linear OOA(3250, 6460702, F3, 5, 12) (dual of [(6460702, 5), 32303260, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(372, 3188649, F3, 5, 6) (dual of [(3188649, 5), 15943173, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(372, 3188650, F3, 3, 6) (dual of [(3188650, 3), 9565878, 7]-NRT-code), using
- trace code [i] based on linear OOA(936, 1594325, F9, 3, 6) (dual of [(1594325, 3), 4782939, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(936, 4782975, F9, 6) (dual of [4782975, 4782939, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(936, 4782976, F9, 6) (dual of [4782976, 4782940, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- 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(929, 4782969, F9, 5) (dual of [4782969, 4782940, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(936, 4782976, F9, 6) (dual of [4782976, 4782940, 7]-code), using
- OOA 3-folding [i] based on linear OA(936, 4782975, F9, 6) (dual of [4782975, 4782939, 7]-code), using
- trace code [i] based on linear OOA(936, 1594325, F9, 3, 6) (dual of [(1594325, 3), 4782939, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(372, 3188650, F3, 3, 6) (dual of [(3188650, 3), 9565878, 7]-NRT-code), using
- linear OOA(3178, 3272053, F3, 5, 12) (dual of [(3272053, 5), 16360087, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(358, 1594333, F3, 5, 6) (dual of [(1594333, 5), 7971607, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(358, 4782999, F3, 6) (dual of [4782999, 4782941, 7]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(329, 4782969, F3, 4) (dual of [4782969, 4782940, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(329, 30, F3, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,3)), using
- dual of repetition code with length 30 [i]
- linear OA(31, 30, F3, 1) (dual of [30, 29, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(6) ⊂ Ce(3) [i] based on
- OA 3-folding and stacking [i] based on linear OA(358, 4782999, F3, 6) (dual of [4782999, 4782941, 7]-code), using
- linear OOA(3120, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388480, 13]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- OOA 5-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-code), using
- linear OOA(358, 1594333, F3, 5, 6) (dual of [(1594333, 5), 7971607, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.