Information on Result #1013168
Linear OOA(5142, 5592418, F5, 3, 12) (dual of [(5592418, 3), 16777112, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(544, 2796207, F5, 3, 6) (dual of [(2796207, 3), 8388577, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,5) [i]
- linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(598, 2796211, F5, 3, 12) (dual of [(2796211, 3), 8388535, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(57, 10, F5, 3, 6) (dual of [(10, 3), 23, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,23P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- linear OOA(57, 10, F5, 3, 6) (dual of [(10, 3), 23, 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.