Information on Result #1014295
Linear OOA(887, 5592430, F8, 3, 9) (dual of [(5592430, 3), 16777203, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(825, 4194301, F8, 3, 4) (dual of [(4194301, 3), 12582878, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(825, 8388602, F8, 4) (dual of [8388602, 8388577, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(825, large, F8, 4) (dual of [large, large−25, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(825, large, F8, 4) (dual of [large, large−25, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(825, 8388602, F8, 4) (dual of [8388602, 8388577, 5]-code), using
- linear OOA(862, 2796215, F8, 3, 9) (dual of [(2796215, 3), 8388583, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(85, 14, F8, 3, 4) (dual of [(14, 3), 37, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(857, 2796201, F8, 3, 9) (dual of [(2796201, 3), 8388546, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OOA 3-folding [i] based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using
- linear OOA(85, 14, F8, 3, 4) (dual of [(14, 3), 37, 5]-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.