Information on Result #2702682
Linear OOA(9133, 5596777, F9, 3, 14) (dual of [(5596777, 3), 16790198, 15]-NRT-code), using 91 times duplication based on linear OOA(9132, 5596777, F9, 3, 14) (dual of [(5596777, 3), 16790199, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(926, 4375, F9, 3, 7) (dual of [(4375, 3), 13099, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(926, 13125, F9, 7) (dual of [13125, 13099, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(926, 13126, F9, 7) (dual of [13126, 13100, 8]-code), using
- trace code [i] based on linear OA(8113, 6563, F81, 7) (dual of [6563, 6550, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(8113, 6561, F81, 7) (dual of [6561, 6548, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(8113, 6563, F81, 7) (dual of [6563, 6550, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(926, 13126, F9, 7) (dual of [13126, 13100, 8]-code), using
- OOA 3-folding [i] based on linear OA(926, 13125, F9, 7) (dual of [13125, 13099, 8]-code), using
- linear OOA(9106, 5592402, F9, 3, 14) (dual of [(5592402, 3), 16777100, 15]-NRT-code), using
- trace code [i] based on linear OOA(8153, 2796201, F81, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- trace code [i] based on linear OOA(8153, 2796201, F81, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
- linear OOA(926, 4375, F9, 3, 7) (dual of [(4375, 3), 13099, 8]-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.
Other Results with Identical Parameters
None.
Depending Results
None.