Information on Result #973503
Linear OOA(5111, 223, F5, 3, 31) (dual of [(223, 3), 558, 32]-NRT-code), using OOA 3-folding based on linear OA(5111, 669, F5, 31) (dual of [669, 558, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(5111, 670, F5, 31) (dual of [670, 559, 32]-code), using
- construction XX applied to C1 = C([619,20]), C2 = C([0,25]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([619,25]) [i] based on
- linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,20}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(597, 624, F5, 31) (dual of [624, 527, 32]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,25}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-code), using
- linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code) (see above)
- construction XX applied to C1 = C([619,20]), C2 = C([0,25]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([619,25]) [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.