Information on Result #825842
Linear OOA(4154, 539, F4, 2, 37) (dual of [(539, 2), 924, 38]-NRT-code), using OOA 2-folding based on linear OA(4154, 1078, F4, 37) (dual of [1078, 924, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(4154, 1079, F4, 37) (dual of [1079, 925, 38]-code), using
- construction XX applied to C1 = C([317,349]), C2 = C([313,342]), C3 = C1 + C2 = C([317,342]), and C∩ = C1 ∩ C2 = C([313,349]) [i] based on
- linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {317,318,…,349}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4111, 1023, F4, 30) (dual of [1023, 912, 31]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,342}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4136, 1023, F4, 37) (dual of [1023, 887, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,349}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {317,318,…,342}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction XX applied to C1 = C([317,349]), C2 = C([313,342]), C3 = C1 + C2 = C([317,342]), and C∩ = C1 ∩ C2 = C([313,349]) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.